670248177266880 has 1792 divisors, whose sum is σ = 2642158244044800. Its totient is φ = 159079284080640.

The previous prime is 670248177266851. The next prime is 670248177266891. The reversal of 670248177266880 is 88662771842076.

670248177266880 is a `hidden beast` number, since 6 + 7 + 0 + 2 + 481 + 7 + 7 + 2 + 6 + 68 + 80 = 666.

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 = 670248177266799 and 670248177266808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 281498603290 + ... + 281498605670.

Almost surely, 2^{670248177266880} is an apocalyptic number.

670248177266880 is a gapful number since it is divisible by the number (60) 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 670248177266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321079122022400).

670248177266880 is an abundant number, since it is smaller than the sum of its proper divisors (1971910066777920).

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

670248177266880 is a wasteful number, since it uses less digits than its factorization.

670248177266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 670248177266880 in words is "six hundred seventy trillion, two hundred forty-eight billion, one hundred seventy-seven million, two hundred sixty-six thousand, eight hundred eighty".