32076946944 has 960 divisors, whose sum is σ = 122207416320. Its totient is φ = 8121876480.

The previous prime is 32076946903. The next prime is 32076946991. The reversal of 32076946944 is 44964967023.

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, 866944494 + ... + 866944530.

It is an arithmetic number, because the mean of its divisors is an integer number (127299392).

Almost surely, 2^32076946944 is an apocalyptic number.

32076946944 is a gapful number since it is divisible by the number (34) 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 32076946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61103708160).

32076946944 is an abundant number, since it is smaller than the sum of its proper divisors (90130469376).

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

32076946944 is a wasteful number, since it uses less digits than its factorization.

32076946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 32076946944 in words is "thirty-two billion, seventy-six million, nine hundred forty-six thousand, nine hundred forty-four".