718505756640 has 480 divisors, whose sum is σ = 2900411236800. Its totient is φ = 164091764736.

The previous prime is 718505756627. The next prime is 718505756669. The reversal of 718505756640 is 46657505817.

It is a happy number.

718505756640 is a `hidden beast` number, since 7 + 1 + 8 + 5 + 0 + 575 + 6 + 64 + 0 = 666.

718505756640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140522724 + ... + 140527836.

It is an arithmetic number, because the mean of its divisors is an integer number (6042523410).

Almost surely, 2^718505756640 is an apocalyptic number.

718505756640 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 718505756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450205618400).

718505756640 is an abundant number, since it is smaller than the sum of its proper divisors (2181905480160).

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

718505756640 is a wasteful number, since it uses less digits than its factorization.

718505756640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 718505756640 in words is "seven hundred eighteen billion, five hundred five million, seven hundred fifty-six thousand, six hundred forty".