718694000640 has 2304 divisors, whose sum is σ = 3351873208320. Its totient is φ = 144521625600.

The previous prime is 718694000599. The next prime is 718694000653. The reversal of 718694000640 is 46000496817.

718694000640 is a `hidden beast` number, since 7 + 186 + 9 + 400 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 23183677425 + ... + 23183677455.

It is an arithmetic number, because the mean of its divisors is an integer number (1454806080).

Almost surely, 2^718694000640 is an apocalyptic number.

718694000640 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 718694000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675936604160).

718694000640 is an abundant number, since it is smaller than the sum of its proper divisors (2633179207680).

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

718694000640 is an equidigital number, since it uses as much as digits as its factorization.

718694000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 718694000640 in words is "seven hundred eighteen billion, six hundred ninety-four million, six hundred forty", and thus it is an aban number.