70127860904640 has 2688 divisors, whose sum is σ = 327244079185920. Its totient is φ = 13356770918400.

The previous prime is 70127860904623. The next prime is 70127860904641. The reversal of 70127860904640 is 4640906872107.

70127860904640 is a `hidden beast` number, since 7 + 0 + 1 + 27 + 8 + 609 + 0 + 4 + 6 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (70127860904641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10566195402 + ... + 10566202038.

Almost surely, 2^{70127860904640} is an apocalyptic number.

70127860904640 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 70127860904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163622039592960).

70127860904640 is an abundant number, since it is smaller than the sum of its proper divisors (257116218281280).

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

70127860904640 is a wasteful number, since it uses less digits than its factorization.

70127860904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 70127860904640 in words is "seventy trillion, one hundred twenty-seven billion, eight hundred sixty million, nine hundred four thousand, six hundred forty".