60423632640 has 864 divisors, whose sum is σ = 257697054720. Its totient is φ = 13353984000.

The previous prime is 60423632639. The next prime is 60423632641. The reversal of 60423632640 is 4623632406.

60423632640 is a `hidden beast` number, since 6 + 0 + 4 + 2 + 3 + 6 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (60423632639) and next prime (60423632641).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-5 number, since 5×60423632640⁵ (a number of 55 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60423632595 and 60423632604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60423632641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52496065 + ... + 52497215.

It is an arithmetic number, because the mean of its divisors is an integer number (298260480).

Almost surely, 2^60423632640 is an apocalyptic number.

60423632640 is a gapful number since it is divisible by the number (60) 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 60423632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848527360).

60423632640 is an abundant number, since it is smaller than the sum of its proper divisors (197273422080).

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

60423632640 is a wasteful number, since it uses less digits than its factorization.

60423632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 60423632640 in words is "sixty billion, four hundred twenty-three million, six hundred thirty-two thousand, six hundred forty".