712456546777920 has 2688 divisors, whose sum is σ = 3011486891212800. Its totient is φ = 154238515200000.

The previous prime is 712456546777901. The next prime is 712456546777951. The reversal of 712456546777920 is 29777645654217.

It is a happy number.

712456546777920 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 5 + 6 + 5 + 467 + 77 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1545458886490 + ... + 1545458886950.

It is an arithmetic number, because the mean of its divisors is an integer number (1120344825600).

Almost surely, 2^{712456546777920} is an apocalyptic number.

712456546777920 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 712456546777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505743445606400).

712456546777920 is an abundant number, since it is smaller than the sum of its proper divisors (2299030344434880).

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

712456546777920 is a wasteful number, since it uses less digits than its factorization.

712456546777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1244678400, while the sum is 72.

The spelling of 712456546777920 in words is "seven hundred twelve trillion, four hundred fifty-six billion, five hundred forty-six million, seven hundred seventy-seven thousand, nine hundred twenty".