70467720908832 has 1152 divisors, whose sum is σ = 234002384179200. Its totient is φ = 20717637857280.

The previous prime is 70467720908831. The next prime is 70467720908843. The reversal of 70467720908832 is 23880902776407.

70467720908832 is a `hidden beast` number, since 7 + 0 + 467 + 7 + 2 + 0 + 90 + 8 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 70467720908832.

It is not an unprimeable number, because it can be changed into a prime (70467720908831) 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, 117642271669 + ... + 117642272267.

It is an arithmetic number, because the mean of its divisors is an integer number (203127069600).

Almost surely, 2^{70467720908832} is an apocalyptic number.

70467720908832 is a gapful number since it is divisible by the number (72) 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 70467720908832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117001192089600).

70467720908832 is an abundant number, since it is smaller than the sum of its proper divisors (163534663270368).

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

70467720908832 is a wasteful number, since it uses less digits than its factorization.

70467720908832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 70467720908832 in words is "seventy trillion, four hundred sixty-seven billion, seven hundred twenty million, nine hundred eight thousand, eight hundred thirty-two".