7700565642 has 128 divisors (see below), whose sum is σ = 19440691200. Its totient is φ = 1975415040.

The previous prime is 7700565637. The next prime is 7700565671. The reversal of 7700565642 is 2465650077.

It is a super-2 number, since 2×7700565642² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7700565594 and 7700565603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22064484 + ... + 22064832.

It is an arithmetic number, because the mean of its divisors is an integer number (151880400).

Almost surely, 2^7700565642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7700565642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720345600).

7700565642 is an abundant number, since it is smaller than the sum of its proper divisors (11740125558).

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

7700565642 is a wasteful number, since it uses less digits than its factorization.

7700565642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828.

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 7700565642 is about 87752.8668591517. The cubic root of 7700565642 is about 1974.7291743795.

The spelling of 7700565642 in words is "seven billion, seven hundred million, five hundred sixty-five thousand, six hundred forty-two".