701656693920 has 1920 divisors, whose sum is σ = 3244485404160. Its totient is φ = 138669096960.

The previous prime is 701656693897. The next prime is 701656693957. The reversal of 701656693920 is 29396656107.

701656693920 is a `hidden beast` number, since 70 + 1 + 6 + 566 + 9 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×701656693920² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3876556230 + ... + 3876556410.

It is an arithmetic number, because the mean of its divisors is an integer number (1689836148).

Almost surely, 2^701656693920 is an apocalyptic number.

701656693920 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 701656693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622242702080).

701656693920 is an abundant number, since it is smaller than the sum of its proper divisors (2542828710240).

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

701656693920 is a wasteful number, since it uses less digits than its factorization.

701656693920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 701656693920 in words is "seven hundred one billion, six hundred fifty-six million, six hundred ninety-three thousand, nine hundred twenty".