79986417408 has 144 divisors (see below), whose sum is σ = 239385431040. Its totient is φ = 26340719616.

The previous prime is 79986417397. The next prime is 79986417457. The reversal of 79986417408 is 80471468997.

79986417408 is a `hidden beast` number, since 79 + 98 + 64 + 17 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503985 + ... + 643407.

Almost surely, 2^79986417408 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 79986417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119692715520).

79986417408 is an abundant number, since it is smaller than the sum of its proper divisors (159399013632).

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

79986417408 is a wasteful number, since it uses less digits than its factorization.

79986417408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139531 (or 139511 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 79986417408 in words is "seventy-nine billion, nine hundred eighty-six million, four hundred seventeen thousand, four hundred eight".