70620759982080 has 4032 divisors, whose sum is σ = 342738226790400. Its totient is φ = 13453649510400.

The previous prime is 70620759982033. The next prime is 70620759982081. The reversal of 70620759982080 is 8028995702607.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×70620759982080² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 70620759981999 and 70620759982017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70620759982081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2278089031665 + ... + 2278089031695.

Almost surely, 2^{70620759982080} is an apocalyptic number.

70620759982080 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 70620759982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171369113395200).

70620759982080 is an abundant number, since it is smaller than the sum of its proper divisors (272117466808320).

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

70620759982080 is an equidigital number, since it uses as much as digits as its factorization.

70620759982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 70620759982080 in words is "seventy trillion, six hundred twenty billion, seven hundred fifty-nine million, nine hundred eighty-two thousand, eighty".