7477087968 has 360 divisors, whose sum is σ = 27092629872. Its totient is φ = 2010064896.

The previous prime is 7477087967. The next prime is 7477087979. The reversal of 7477087968 is 8697807747.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7477087967) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2157405 + ... + 2160867.

Almost surely, 2^7477087968 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 7477087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546314936).

7477087968 is an abundant number, since it is smaller than the sum of its proper divisors (19615541904).

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

7477087968 is a wasteful number, since it uses less digits than its factorization.

7477087968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The square root of 7477087968 is about 86470.1565165693. The cubic root of 7477087968 is about 1955.4385079584.

The spelling of 7477087968 in words is "seven billion, four hundred seventy-seven million, eighty-seven thousand, nine hundred sixty-eight".