70669105879680 has 3072 divisors, whose sum is σ = 324183684464640. Its totient is φ = 14284947456000.

The previous prime is 70669105879663. The next prime is 70669105879709. The reversal of 70669105879680 is 8697850196607.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 70669105879599 and 70669105879608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135641277820 + ... + 135641278340.

It is an arithmetic number, because the mean of its divisors is an integer number (105528543120).

Almost surely, 2^{70669105879680} is an apocalyptic number.

70669105879680 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 70669105879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162091842232320).

70669105879680 is an abundant number, since it is smaller than the sum of its proper divisors (253514578584960).

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

70669105879680 is a wasteful number, since it uses less digits than its factorization.

70669105879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 70669105879680 in words is "seventy trillion, six hundred sixty-nine billion, one hundred five million, eight hundred seventy-nine thousand, six hundred eighty".