7677953712 has 400 divisors, whose sum is σ = 27654292512. Its totient is φ = 2020515840.

The previous prime is 7677953711. The next prime is 7677953719. The reversal of 7677953712 is 2173597767.

It is a super-2 number, since 2×7677953712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7677953711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3149358 + ... + 3151794.

Almost surely, 2^7677953712 is an apocalyptic number.

7677953712 is a gapful number since it is divisible by the number (72) 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 7677953712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827146256).

7677953712 is an abundant number, since it is smaller than the sum of its proper divisors (19976338800).

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

7677953712 is a wasteful number, since it uses less digits than its factorization.

7677953712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2483 counting only the distinct ones).

The product of its digits is 3889620, while the sum is 54.

The square root of 7677953712 is about 87623.9334428671. The cubic root of 7677953712 is about 1972.7944154210.

The spelling of 7677953712 in words is "seven billion, six hundred seventy-seven million, nine hundred fifty-three thousand, seven hundred twelve".