7536996864 has 320 divisors, whose sum is σ = 23192801280. Its totient is φ = 2445520896.

The previous prime is 7536996833. The next prime is 7536996889. The reversal of 7536996864 is 4686996357.

7536996864 is a `hidden beast` number, since 7 + 536 + 9 + 96 + 8 + 6 + 4 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 59346369 + ... + 59346495.

It is an arithmetic number, because the mean of its divisors is an integer number (72477504).

Almost surely, 2^7536996864 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 7536996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596400640).

7536996864 is an abundant number, since it is smaller than the sum of its proper divisors (15655804416).

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

7536996864 is an frugal number, since it uses more digits than its factorization.

7536996864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The square root of 7536996864 is about 86815.8791005424. The cubic root of 7536996864 is about 1960.6471609991.

The spelling of 7536996864 in words is "seven billion, five hundred thirty-six million, nine hundred ninety-six thousand, eight hundred sixty-four".