32879009076480 has 3456 divisors, whose sum is σ = 153529801850880. Its totient is φ = 6311069614080.

The previous prime is 32879009076469. The next prime is 32879009076533. The reversal of 32879009076480 is 8467090097823.

32879009076480 is a `hidden beast` number, since 3 + 2 + 87 + 9 + 0 + 0 + 9 + 0 + 76 + 480 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 52564 × 12236 × 51120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42534293374 + ... + 42534294146.

It is an arithmetic number, because the mean of its divisors is an integer number (44424132480).

Almost surely, 2^{32879009076480} is an apocalyptic number.

32879009076480 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 32879009076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76764900925440).

32879009076480 is an abundant number, since it is smaller than the sum of its proper divisors (120650792774400).

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

32879009076480 is a wasteful number, since it uses less digits than its factorization.

32879009076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 32879009076480 in words is "thirty-two trillion, eight hundred seventy-nine billion, nine million, seventy-six thousand, four hundred eighty".