2932147007664 has 160 divisors (see below), whose sum is σ = 8959051345920. Its totient is φ = 808646630400.

The previous prime is 2932147007659. The next prime is 2932147007681. The reversal of 2932147007664 is 4667007412392.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3689994 + ... + 4413654.

It is an arithmetic number, because the mean of its divisors is an integer number (55994070912).

Almost surely, 2^{2932147007664} is an apocalyptic number.

2932147007664 is a gapful number since it is divisible by the number (24) 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 2932147007664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479525672960).

2932147007664 is an abundant number, since it is smaller than the sum of its proper divisors (6026904338256).

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

2932147007664 is a wasteful number, since it uses less digits than its factorization.

2932147007664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724099 (or 724093 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 2932147007664 in words is "two trillion, nine hundred thirty-two billion, one hundred forty-seven million, seven thousand, six hundred sixty-four".