1957656736 has 48 divisors (see below), whose sum is σ = 4415402880. Its totient is φ = 836962560.

The previous prime is 1957656721. The next prime is 1957656739. The reversal of 1957656736 is 6376567591.

It is not an unprimeable number, because it can be changed into a prime (1957656739) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83925 + ... + 104683.

It is an arithmetic number, because the mean of its divisors is an integer number (91987560).

Almost surely, 2^1957656736 is an apocalyptic number.

1957656736 is a gapful number since it is divisible by the number (16) 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 1957656736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207701440).

1957656736 is an abundant number, since it is smaller than the sum of its proper divisors (2457746144).

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

1957656736 is a wasteful number, since it uses less digits than its factorization.

1957656736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21197 (or 21189 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 55.

The square root of 1957656736 is about 44245.4148584913. The cubic root of 1957656736 is about 1250.9660235931.

The spelling of 1957656736 in words is "one billion, nine hundred fifty-seven million, six hundred fifty-six thousand, seven hundred thirty-six".