701425820374272 has 1440 divisors, whose sum is σ = 2516949851480064. Its totient is φ = 190058379264000.

The previous prime is 701425820374267. The next prime is 701425820374273. The reversal of 701425820374272 is 272473028524107.

701425820374272 is a `hidden beast` number, since 7 + 0 + 1 + 4 + 2 + 5 + 8 + 203 + 7 + 427 + 2 = 666.

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 (701425820374273) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 346041350923 + ... + 346041352949.

Almost surely, 2^{701425820374272} is an apocalyptic number.

701425820374272 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 701425820374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258474925740032).

701425820374272 is an abundant number, since it is smaller than the sum of its proper divisors (1815524031105792).

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

701425820374272 is a wasteful number, since it uses less digits than its factorization.

701425820374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

Adding to 701425820374272 its reverse (272473028524107), we get a palindrome (973898848898379).

The spelling of 701425820374272 in words is "seven hundred one trillion, four hundred twenty-five billion, eight hundred twenty million, three hundred seventy-four thousand, two hundred seventy-two".