701145678804480 has 2560 divisors, whose sum is σ = 3171739395686400. Its totient is φ = 142818420326400.

The previous prime is 701145678804443. The next prime is 701145678804509. The reversal of 701145678804480 is 84408876541107.

701145678804480 is a `hidden beast` number, since 7 + 0 + 1 + 1 + 4 + 5 + 6 + 78 + 80 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 85599517185 + ... + 85599525375.

It is an arithmetic number, because the mean of its divisors is an integer number (1238960701440).

Almost surely, 2^{701145678804480} is an apocalyptic number.

701145678804480 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 701145678804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585869697843200).

701145678804480 is an abundant number, since it is smaller than the sum of its proper divisors (2470593716881920).

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

701145678804480 is a wasteful number, since it uses less digits than its factorization.

701145678804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8713 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 701145678804480 in words is "seven hundred one trillion, one hundred forty-five billion, six hundred seventy-eight million, eight hundred four thousand, four hundred eighty".