7477712640 has 432 divisors, whose sum is σ = 27788997600. Its totient is φ = 1922973696.

The previous prime is 7477712639. The next prime is 7477712653. The reversal of 7477712640 is 462177747.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 9019746 + ... + 9020574.

Almost surely, 2^7477712640 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 7477712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894498800).

7477712640 is an abundant number, since it is smaller than the sum of its proper divisors (20311284960).

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

7477712640 is an equidigital number, since it uses as much as digits as its factorization.

7477712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 7477712640 is about 86473.7685081436. The cubic root of 7477712640 is about 1955.4929620308.

The spelling of 7477712640 in words is "seven billion, four hundred seventy-seven million, seven hundred twelve thousand, six hundred forty".