7857355968 has 224 divisors, whose sum is σ = 28799454720. Its totient is φ = 2040837120.

The previous prime is 7857355951. The next prime is 7857355973. The reversal of 7857355968 is 8695537587.

7857355968 is a `hidden beast` number, since 7 + 8 + 5 + 7 + 35 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×7857355968³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103530 + ... + 162582.

Almost surely, 2^7857355968 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 7857355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399727360).

7857355968 is an abundant number, since it is smaller than the sum of its proper divisors (20942098752).

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

7857355968 is a wasteful number, since it uses less digits than its factorization.

7857355968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59092 (or 59076 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The square root of 7857355968 is about 88641.7281419987. The cubic root of 7857355968 is about 1988.0416386363.

The spelling of 7857355968 in words is "seven billion, eight hundred fifty-seven million, three hundred fifty-five thousand, nine hundred sixty-eight".