70827925808640 has 1280 divisors, whose sum is σ = 308299531567104. Its totient is φ = 13393929830400.

The previous prime is 70827925808603. The next prime is 70827925808681. The reversal of 70827925808640 is 4680852972807.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 545760399 + ... + 545890161.

Almost surely, 2^{70827925808640} is an apocalyptic number.

70827925808640 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 70827925808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154149765783552).

70827925808640 is an abundant number, since it is smaller than the sum of its proper divisors (237471605758464).

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

70827925808640 is a wasteful number, since it uses less digits than its factorization.

70827925808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129891 (or 129875 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 66.

The spelling of 70827925808640 in words is "seventy trillion, eight hundred twenty-seven billion, nine hundred twenty-five million, eight hundred eight thousand, six hundred forty".