70504587648 has 448 divisors, whose sum is σ = 231779394000. Its totient is φ = 21175603200.

The previous prime is 70504587641. The next prime is 70504587653. The reversal of 70504587648 is 84678540507.

70504587648 is a `hidden beast` number, since 7 + 0 + 50 + 4 + 587 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70504587594 and 70504587603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70504587641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 152938138 + ... + 152938598.

Almost surely, 2^70504587648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70504587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115889697000).

70504587648 is an abundant number, since it is smaller than the sum of its proper divisors (161274806352).

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

70504587648 is a wasteful number, since it uses less digits than its factorization.

70504587648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 70504587648 in words is "seventy billion, five hundred four million, five hundred eighty-seven thousand, six hundred forty-eight".