7057606140 has 240 divisors, whose sum is σ = 24296757408. Its totient is φ = 1704208896.

The previous prime is 7057606139. The next prime is 7057606207. The reversal of 7057606140 is 416067507.

7057606140 is a `hidden beast` number, since 7 + 0 + 5 + 7 + 606 + 1 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7057606095 and 7057606104.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1113019 + ... + 1119341.

Almost surely, 2^7057606140 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 7057606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148378704).

7057606140 is an abundant number, since it is smaller than the sum of its proper divisors (17239151268).

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

7057606140 is a wasteful number, since it uses less digits than its factorization.

7057606140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7057606140 is about 84009.5598131546. The cubic root of 7057606140 is about 1918.1643099302.

The spelling of 7057606140 in words is "seven billion, fifty-seven million, six hundred six thousand, one hundred forty".