712924208640 has 640 divisors, whose sum is σ = 2930023895040. Its totient is φ = 162945146880.

The previous prime is 712924208603. The next prime is 712924208641. The reversal of 712924208640 is 46802429217.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712924208641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39181945 + ... + 39200135.

It is an arithmetic number, because the mean of its divisors is an integer number (4578162336).

Almost surely, 2^712924208640 is an apocalyptic number.

712924208640 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 712924208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465011947520).

712924208640 is an abundant number, since it is smaller than the sum of its proper divisors (2217099686400).

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

712924208640 is an frugal number, since it uses more digits than its factorization.

712924208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18242 (or 18208 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 712924208640 in words is "seven hundred twelve billion, nine hundred twenty-four million, two hundred eight thousand, six hundred forty".