32623248752640 has 4320 divisors, whose sum is σ = 156019069140480. Its totient is φ = 6356849393664.

The previous prime is 32623248752609. The next prime is 32623248752651. The reversal of 32623248752640 is 4625784232623.

32623248752640 is a `hidden beast` number, since 3 + 2 + 6 + 2 + 32 + 4 + 87 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1124939612146 + ... + 1124939612174.

It is an arithmetic number, because the mean of its divisors is an integer number (36115525264).

Almost surely, 2^{32623248752640} is an apocalyptic number.

32623248752640 is a gapful number since it is divisible by the number (30) 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 32623248752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78009534570240).

32623248752640 is an abundant number, since it is smaller than the sum of its proper divisors (123395820387840).

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

32623248752640 is an frugal number, since it uses more digits than its factorization.

32623248752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 32623248752640 in words is "thirty-two trillion, six hundred twenty-three billion, two hundred forty-eight million, seven hundred fifty-two thousand, six hundred forty".