32980376016 has 960 divisors, whose sum is σ = 124792012800. Its totient is φ = 8215561728.

The previous prime is 32980375979. The next prime is 32980376041. The reversal of 32980376016 is 61067308923.

32980376016 is a `hidden beast` number, since 3 + 2 + 9 + 8 + 0 + 37 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 558989395 + ... + 558989453.

It is an arithmetic number, because the mean of its divisors is an integer number (129991680).

Almost surely, 2^32980376016 is an apocalyptic number.

32980376016 is a gapful number since it is divisible by the number (36) 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 32980376016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62396006400).

32980376016 is an abundant number, since it is smaller than the sum of its proper divisors (91811636784).

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

32980376016 is a wasteful number, since it uses less digits than its factorization.

32980376016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 32980376016 in words is "thirty-two billion, nine hundred eighty million, three hundred seventy-six thousand, sixteen".