23072632323840 has 1440 divisors, whose sum is σ = 92415758561280. Its totient is φ = 5448425472000.

The previous prime is 23072632323823. The next prime is 23072632323857. The reversal of 23072632323840 is 4832323627032.

23072632323840 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 2 + 632 + 3 + 2 + 3 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23072632323823) and next prime (23072632323857).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×23072632323840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12811010940 + ... + 12811012740.

It is an arithmetic number, because the mean of its divisors is an integer number (64177610112).

Almost surely, 2^{23072632323840} is an apocalyptic number.

23072632323840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23072632323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207879280640).

23072632323840 is an abundant number, since it is smaller than the sum of its proper divisors (69343126237440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23072632323840 is a wasteful number, since it uses less digits than its factorization.

23072632323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 23072632323840 in words is "twenty-three trillion, seventy-two billion, six hundred thirty-two million, three hundred twenty-three thousand, eight hundred forty".