7057993320 has 768 divisors, whose sum is σ = 29090880000. Its totient is φ = 1536288768.

The previous prime is 7057993303. The next prime is 7057993331. The reversal of 7057993320 is 233997507.

7057993320 is a `hidden beast` number, since 70 + 579 + 9 + 3 + 3 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 96684804 + ... + 96684876.

It is an arithmetic number, because the mean of its divisors is an integer number (37878750).

Almost surely, 2^7057993320 is an apocalyptic number.

7057993320 is a gapful number since it is divisible by the number (70) 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 7057993320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545440000).

7057993320 is an abundant number, since it is smaller than the sum of its proper divisors (22032886680).

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

7057993320 is a wasteful number, since it uses less digits than its factorization.

7057993320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 7057993320 is about 84011.8641621527. The cubic root of 7057993320 is about 1918.1993860954.

The spelling of 7057993320 in words is "seven billion, fifty-seven million, nine hundred ninety-three thousand, three hundred twenty".