712955617920 has 3072 divisors, whose sum is σ = 3464487936000. Its totient is φ = 130799370240.

The previous prime is 712955617919. The next prime is 712955617973. The reversal of 712955617920 is 29716559217.

It is a happy number.

712955617920 is a `hidden beast` number, since 7 + 1 + 2 + 9 + 5 + 561 + 79 + 2 + 0 = 666.

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, 8010737236 + ... + 8010737324.

It is an arithmetic number, because the mean of its divisors is an integer number (1127763000).

Almost surely, 2^712955617920 is an apocalyptic number.

712955617920 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 712955617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732243968000).

712955617920 is an abundant number, since it is smaller than the sum of its proper divisors (2751532318080).

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

712955617920 is a wasteful number, since it uses less digits than its factorization.

712955617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 712955617920 in words is "seven hundred twelve billion, nine hundred fifty-five million, six hundred seventeen thousand, nine hundred twenty".