1956740864 has 72 divisors (see below), whose sum is σ = 4217712240. Its totient is φ = 900661248.

The previous prime is 1956740831. The next prime is 1956740881. The reversal of 1956740864 is 4680476591.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1919747 + ... + 1920765.

Almost surely, 2^1956740864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108856120).

1956740864 is an abundant number, since it is smaller than the sum of its proper divisors (2260971376).

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

1956740864 is a wasteful number, since it uses less digits than its factorization.

1956740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 1956740864 is about 44235.0637390747. The cubic root of 1956740864 is about 1250.7709087820.

The spelling of 1956740864 in words is "one billion, nine hundred fifty-six million, seven hundred forty thousand, eight hundred sixty-four".