79401591360 has 1344 divisors, whose sum is σ = 357249984000. Its totient is φ = 16679706624.

The previous prime is 79401591343. The next prime is 79401591371. The reversal of 79401591360 is 6319510497.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×79401591360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346731726 + ... + 346731954.

It is an arithmetic number, because the mean of its divisors is an integer number (265811000).

Almost surely, 2^79401591360 is an apocalyptic number.

79401591360 is a gapful number since it is divisible by the number (70) 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 79401591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178624992000).

79401591360 is an abundant number, since it is smaller than the sum of its proper divisors (277848392640).

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

79401591360 is a wasteful number, since it uses less digits than its factorization.

79401591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

It can be divided in two parts, 79401 and 591360, that added together give a square (670761 = 819²).

The spelling of 79401591360 in words is "seventy-nine billion, four hundred one million, five hundred ninety-one thousand, three hundred sixty".