1957063680 has 792 divisors, whose sum is σ = 8324346576. Its totient is φ = 437944320.

The previous prime is 1957063679. The next prime is 1957063727. The reversal of 1957063680 is 863607591.

It is a happy number.

1957063680 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 0 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150543354 + ... + 150543366.

Almost surely, 2^1957063680 is an apocalyptic number.

1957063680 is a gapful number since it is divisible by the number (10) 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 1957063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162173288).

1957063680 is an abundant number, since it is smaller than the sum of its proper divisors (6367282896).

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

1957063680 is a wasteful number, since it uses less digits than its factorization.

1957063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1957063680 is about 44238.7124586600. The cubic root of 1957063680 is about 1250.8396875469.

The spelling of 1957063680 in words is "one billion, nine hundred fifty-seven million, sixty-three thousand, six hundred eighty".