712753798680 has 1536 divisors, whose sum is σ = 3218625331200. Its totient is φ = 136210636800.

The previous prime is 712753798621. The next prime is 712753798709. The reversal of 712753798680 is 86897357217.

712753798680 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 537 + 98 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1129561965 + ... + 1129562595.

It is an arithmetic number, because the mean of its divisors is an integer number (2095459200).

Almost surely, 2^712753798680 is an apocalyptic number.

712753798680 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 712753798680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609312665600).

712753798680 is an abundant number, since it is smaller than the sum of its proper divisors (2505871532520).

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

712753798680 is a wasteful number, since it uses less digits than its factorization.

712753798680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 712753798680 in words is "seven hundred twelve billion, seven hundred fifty-three million, seven hundred ninety-eight thousand, six hundred eighty".