32378304453264 has 1440 divisors, whose sum is σ = 122018403072384. Its totient is φ = 8216950210560.

The previous prime is 32378304453233. The next prime is 32378304453289. The reversal of 32378304453264 is 46235440387323.

32378304453264 is a `hidden beast` number, since 3 + 2 + 3 + 7 + 8 + 3 + 0 + 44 + 532 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32378304453264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17286867432 + ... + 17286869304.

Almost surely, 2^{32378304453264} 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 32378304453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61009201536192).

32378304453264 is an abundant number, since it is smaller than the sum of its proper divisors (89640098619120).

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

32378304453264 is a wasteful number, since it uses less digits than its factorization.

32378304453264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 32378304453264 in words is "thirty-two trillion, three hundred seventy-eight billion, three hundred four million, four hundred fifty-three thousand, two hundred sixty-four".