2956996646464 has 63 divisors (see below), whose sum is σ = 6826019082123. Its totient is φ = 1267243006848.

The previous prime is 2956996646437. The next prime is 2956996646479. The reversal of 2956996646464 is 4646466996592.

The square root of 2956996646464 is 1719592.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (3627970560) is a multiple of the sum of its prime factors (61440).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96281799 + ... + 96312505.

Almost surely, 2^{2956996646464} is an apocalyptic number.

2956996646464 is the 1719592-nd square number.

It is an amenable number.

2956996646464 is an abundant number, since it is smaller than the sum of its proper divisors (3869022435659).

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

2956996646464 is an frugal number, since it uses more digits than its factorization.

2956996646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61440 (or 30716 counting only the distinct ones).

The product of its digits is 3627970560, while the sum is 76.

The spelling of 2956996646464 in words is "two trillion, nine hundred fifty-six billion, nine hundred ninety-six million, six hundred forty-six thousand, four hundred sixty-four".