7057717920 has 480 divisors, whose sum is σ = 28066300416. Its totient is φ = 1654732800.

The previous prime is 7057717897. The next prime is 7057717949. The reversal of 7057717920 is 297177507.

7057717920 is a `hidden beast` number, since 7 + 0 + 577 + 1 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7057717920² = 99622764476578252800, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 4418562 + ... + 4420158.

Almost surely, 2^7057717920 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 7057717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033150208).

7057717920 is an abundant number, since it is smaller than the sum of its proper divisors (21008582496).

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

7057717920 is a wasteful number, since it uses less digits than its factorization.

7057717920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 216090, while the sum is 45.

The square root of 7057717920 is about 84010.2250919494. The cubic root of 7057717920 is about 1918.1744366535.

The spelling of 7057717920 in words is "seven billion, fifty-seven million, seven hundred seventeen thousand, nine hundred twenty".