7573870668 has 384 divisors, whose sum is σ = 24588748800. Its totient is φ = 1755758592.

The previous prime is 7573870571. The next prime is 7573870729. The reversal of 7573870668 is 8660783757.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38445946 + ... + 38446142.

It is an arithmetic number, because the mean of its divisors is an integer number (64033200).

Almost surely, 2^7573870668 is an apocalyptic number.

7573870668 is a gapful number since it is divisible by the number (78) 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 7573870668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294374400).

7573870668 is an abundant number, since it is smaller than the sum of its proper divisors (17014878132).

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

7573870668 is a wasteful number, since it uses less digits than its factorization.

7573870668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The square root of 7573870668 is about 87027.9878429922. The cubic root of 7573870668 is about 1963.8393669186.

The spelling of 7573870668 in words is "seven billion, five hundred seventy-three million, eight hundred seventy thousand, six hundred sixty-eight".