32542642293840 has 960 divisors, whose sum is σ = 133172636405760. Its totient is φ = 7154734924800.

The previous prime is 32542642293839. The next prime is 32542642293877. The reversal of 32542642293840 is 4839224624523.

32542642293840 is a `hidden beast` number, since 3 + 2 + 54 + 2 + 6 + 422 + 93 + 84 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2426556735 + ... + 2426570145.

It is an arithmetic number, because the mean of its divisors is an integer number (138721496256).

Almost surely, 2^{32542642293840} is an apocalyptic number.

32542642293840 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 32542642293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66586318202880).

32542642293840 is an abundant number, since it is smaller than the sum of its proper divisors (100629994111920).

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

32542642293840 is a wasteful number, since it uses less digits than its factorization.

32542642293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13669 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 32542642293840 in words is "thirty-two trillion, five hundred forty-two billion, six hundred forty-two million, two hundred ninety-three thousand, eight hundred forty".