713800427397120 has 2240 divisors, whose sum is σ = 3033612796262400. Its totient is φ = 157098961797120.

The previous prime is 713800427397107. The next prime is 713800427397131. The reversal of 713800427397120 is 21793724008317.

713800427397120 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 0 + 0 + 427 + 3 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×713800427397120² (a number of 31 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 290280774451 + ... + 290280776909.

Almost surely, 2^{713800427397120} is an apocalyptic number.

713800427397120 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 713800427397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516806398131200).

713800427397120 is an abundant number, since it is smaller than the sum of its proper divisors (2319812368865280).

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

713800427397120 is a wasteful number, since it uses less digits than its factorization.

713800427397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 713800427397120 in words is "seven hundred thirteen trillion, eight hundred billion, four hundred twenty-seven million, three hundred ninety-seven thousand, one hundred twenty".