712469279047680 has 8192 divisors, whose sum is σ = 3565842186240000. Its totient is φ = 134842259865600.

The previous prime is 712469279047679. The next prime is 712469279047699. The reversal of 712469279047680 is 86740972964217.

712469279047680 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 6 + 9 + 2 + 79 + 0 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (8192).

It is a super-2 number, since 2×712469279047680² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 712469279047599 and 712469279047608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22982879969265 + ... + 22982879969295.

It is an arithmetic number, because the mean of its divisors is an integer number (435283470000).

Almost surely, 2^{712469279047680} is an apocalyptic number.

712469279047680 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 712469279047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782921093120000).

712469279047680 is an abundant number, since it is smaller than the sum of its proper divisors (2853372907192320).

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

712469279047680 is an frugal number, since it uses more digits than its factorization.

712469279047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 712469279047680 in words is "seven hundred twelve trillion, four hundred sixty-nine billion, two hundred seventy-nine million, forty-seven thousand, six hundred eighty".