701982232261632 has 2464 divisors, whose sum is σ = 2656264127897600. Its totient is φ = 180818052710400.

The previous prime is 701982232261589. The next prime is 701982232261637. The reversal of 701982232261632 is 236162232289107.

701982232261632 is a `hidden beast` number, since 7 + 0 + 1 + 98 + 2 + 232 + 261 + 63 + 2 = 666.

It is a super-2 number, since 2×701982232261632² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701982232261637) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 187745981619 + ... + 187745985357.

Almost surely, 2^{701982232261632} is an apocalyptic number.

701982232261632 is a gapful number since it is divisible by the number (72) 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 701982232261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328132063948800).

701982232261632 is an abundant number, since it is smaller than the sum of its proper divisors (1954281895635968).

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

701982232261632 is a wasteful number, since it uses less digits than its factorization.

701982232261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 701982232261632 in words is "seven hundred one trillion, nine hundred eighty-two billion, two hundred thirty-two million, two hundred sixty-one thousand, six hundred thirty-two".