713760128640 has 1536 divisors, whose sum is σ = 3070723219200. Its totient is φ = 156513337344.

The previous prime is 713760128603. The next prime is 713760128677. The reversal of 713760128640 is 46821067317.

713760128640 is a `hidden beast` number, since 7 + 1 + 37 + 601 + 2 + 8 + 6 + 4 + 0 = 666.

713760128640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (713760128603) and next prime (713760128677).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 653027934 + ... + 653029026.

Almost surely, 2^713760128640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713760128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535361609600).

713760128640 is an abundant number, since it is smaller than the sum of its proper divisors (2356963090560).

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

713760128640 is a wasteful number, since it uses less digits than its factorization.

713760128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 713760128640 in words is "seven hundred thirteen billion, seven hundred sixty million, one hundred twenty-eight thousand, six hundred forty".