701005579680 has 288 divisors, whose sum is σ = 2603878570944. Its totient is φ = 158034530304.

The previous prime is 701005579669. The next prime is 701005579691. The reversal of 701005579680 is 86975500107.

It is an interprime number because it is at equal distance from previous prime (701005579669) and next prime (701005579691).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512819 + ... + 1921101.

It is an arithmetic number, because the mean of its divisors is an integer number (9041245038).

Almost surely, 2^701005579680 is an apocalyptic number.

701005579680 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 701005579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301939285472).

701005579680 is an abundant number, since it is smaller than the sum of its proper divisors (1902872991264).

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

701005579680 is a wasteful number, since it uses less digits than its factorization.

701005579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408388 (or 408373 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The spelling of 701005579680 in words is "seven hundred one billion, five million, five hundred seventy-nine thousand, six hundred eighty".