79917481440 has 384 divisors, whose sum is σ = 303064312320. Its totient is φ = 19590488064.

The previous prime is 79917481429. The next prime is 79917481451. The reversal of 79917481440 is 4418471997.

79917481440 is a `hidden beast` number, since 79 + 91 + 7 + 48 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (79917481429) and next prime (79917481451).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3145267 + ... + 3170573.

It is an arithmetic number, because the mean of its divisors is an integer number (789229980).

Almost surely, 2^79917481440 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 79917481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151532156160).

79917481440 is an abundant number, since it is smaller than the sum of its proper divisors (223146830880).

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

79917481440 is a wasteful number, since it uses less digits than its factorization.

79917481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25391 (or 25377 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 79917481440 in words is "seventy-nine billion, nine hundred seventeen million, four hundred eighty-one thousand, four hundred forty".