712670555520 has 768 divisors, whose sum is σ = 3181875540480. Its totient is φ = 148084899840.

The previous prime is 712670555491. The next prime is 712670555627. The reversal of 712670555520 is 25555076217.

712670555520 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 70 + 5 + 55 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11945284 + ... + 12004796.

It is an arithmetic number, because the mean of its divisors is an integer number (4143067110).

Almost surely, 2^712670555520 is an apocalyptic number.

712670555520 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 712670555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590937770240).

712670555520 is an abundant number, since it is smaller than the sum of its proper divisors (2469204984960).

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

712670555520 is a wasteful number, since it uses less digits than its factorization.

712670555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59565 (or 59541 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 712670555520 in words is "seven hundred twelve billion, six hundred seventy million, five hundred fifty-five thousand, five hundred twenty".