3157564999680 has 1536 divisors, whose sum is σ = 14155905254400. Its totient is φ = 649750118400.

The previous prime is 3157564999679. The next prime is 3157564999723. The reversal of 3157564999680 is 869994657513.

3157564999680 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 56 + 499 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3157564999599 and 3157564999608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1031545350 + ... + 1031548410.

It is an arithmetic number, because the mean of its divisors is an integer number (9216084150).

Almost surely, 2^{3157564999680} is an apocalyptic number.

3157564999680 is a gapful number since it is divisible by the number (30) 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 3157564999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077952627200).

3157564999680 is an abundant number, since it is smaller than the sum of its proper divisors (10998340254720).

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

3157564999680 is a wasteful number, since it uses less digits than its factorization.

3157564999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 3157564999680 in words is "three trillion, one hundred fifty-seven billion, five hundred sixty-four million, nine hundred ninety-nine thousand, six hundred eighty".