32922457916400 has 480 divisors, whose sum is σ = 126260576305920. Its totient is φ = 8099674168320.

The previous prime is 32922457916393. The next prime is 32922457916419. The reversal of 32922457916400 is 461975422923.

It is a happy number.

32922457916400 is a `hidden beast` number, since 3 + 2 + 9 + 2 + 2 + 4 + 579 + 1 + 64 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 267681319 + ... + 267804281.

It is an arithmetic number, because the mean of its divisors is an integer number (263042867304).

Almost surely, 2^{32922457916400} is an apocalyptic number.

32922457916400 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 32922457916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63130288152960).

32922457916400 is an abundant number, since it is smaller than the sum of its proper divisors (93338118389520).

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

32922457916400 is a wasteful number, since it uses less digits than its factorization.

32922457916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124910 (or 124893 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 32922457916400 in words is "thirty-two trillion, nine hundred twenty-two billion, four hundred fifty-seven million, nine hundred sixteen thousand, four hundred".