7678577952 has 192 divisors, whose sum is σ = 23890204800. Its totient is φ = 2390999040.

The previous prime is 7678577923. The next prime is 7678577987. The reversal of 7678577952 is 2597758767.

7678577952 is a `hidden beast` number, since 7 + 6 + 7 + 8 + 577 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7678577952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2039752 + ... + 2043512.

It is an arithmetic number, because the mean of its divisors is an integer number (124428150).

Almost surely, 2^7678577952 is an apocalyptic number.

7678577952 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 7678577952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945102400).

7678577952 is an abundant number, since it is smaller than the sum of its proper divisors (16211626848).

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

7678577952 is a wasteful number, since it uses less digits than its factorization.

7678577952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3922 counting only the distinct ones).

The product of its digits is 51861600, while the sum is 63.

The square root of 7678577952 is about 87627.4954109725. The cubic root of 7678577952 is about 1972.8478786161.

The spelling of 7678577952 in words is "seven billion, six hundred seventy-eight million, five hundred seventy-seven thousand, nine hundred fifty-two".