79401259476 has 288 divisors, whose sum is σ = 259519303680. Its totient is φ = 20550024000.

The previous prime is 79401259459. The next prime is 79401259499. The reversal of 79401259476 is 67495210497.

79401259476 is a `hidden beast` number, since 7 + 9 + 40 + 1 + 2 + 594 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28447641 + ... + 28450431.

Almost surely, 2^79401259476 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 79401259476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129759651840).

79401259476 is an abundant number, since it is smaller than the sum of its proper divisors (180118044204).

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

79401259476 is a wasteful number, since it uses less digits than its factorization.

79401259476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 79401259476 in words is "seventy-nine billion, four hundred one million, two hundred fifty-nine thousand, four hundred seventy-six".