70500948480 has 560 divisors, whose sum is σ = 260544277224. Its totient is φ = 18274222080.

The previous prime is 70500948461. The next prime is 70500948491. The reversal of 70500948480 is 8484900507.

It can be written as a sum of positive squares in 4 ways, for example, as 67858166016 + 2642782464 = 260496^2 + 51408^2 .

It is a super-2 number, since 2×70500948480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 69050370 + ... + 69051390.

Almost surely, 2^70500948480 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 70500948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130272138612).

70500948480 is an abundant number, since it is smaller than the sum of its proper divisors (190043328744).

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

70500948480 is an equidigital number, since it uses as much as digits as its factorization.

70500948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 70500948480 in words is "seventy billion, five hundred million, nine hundred forty-eight thousand, four hundred eighty".