7679399270400 has 2880 divisors, whose sum is σ = 34930161826560. Its totient is φ = 1640831385600.

The previous prime is 7679399270359. The next prime is 7679399270509. The reversal of 7679399270400 is 40729939767.

7679399270400 is a `hidden beast` number, since 7 + 6 + 79 + 3 + 9 + 92 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13640140519 + ... + 13640141081.

It is an arithmetic number, because the mean of its divisors is an integer number (12128528412).

Almost surely, 2^{7679399270400} 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 7679399270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465080913280).

7679399270400 is an abundant number, since it is smaller than the sum of its proper divisors (27250762556160).

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

7679399270400 is a wasteful number, since it uses less digits than its factorization.

7679399270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 7679399270400 in words is "seven trillion, six hundred seventy-nine billion, three hundred ninety-nine million, two hundred seventy thousand, four hundred".