32022974398464 has 1536 divisors, whose sum is σ = 116078309867520. Its totient is φ = 8628299366400.

The previous prime is 32022974398453. The next prime is 32022974398577. The reversal of 32022974398464 is 46489347922023.

32022974398464 is a `hidden beast` number, since 3 + 20 + 2 + 29 + 7 + 43 + 98 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 74299244329 + ... + 74299244759.

It is an arithmetic number, because the mean of its divisors is an integer number (75571816320).

Almost surely, 2^{32022974398464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32022974398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58039154933760).

32022974398464 is an abundant number, since it is smaller than the sum of its proper divisors (84055335469056).

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

32022974398464 is an frugal number, since it uses more digits than its factorization.

32022974398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 32022974398464 in words is "thirty-two trillion, twenty-two billion, nine hundred seventy-four million, three hundred ninety-eight thousand, four hundred sixty-four".