70190475264 has 1152 divisors, whose sum is σ = 273375648000. Its totient is φ = 17390370816.

The previous prime is 70190475263. The next prime is 70190475361. The reversal of 70190475264 is 46257409107.

70190475264 is a `hidden beast` number, since 70 + 1 + 90 + 475 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70190475263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1897039854 + ... + 1897039890.

It is an arithmetic number, because the mean of its divisors is an integer number (237305250).

Almost surely, 2^70190475264 is an apocalyptic number.

70190475264 is a gapful number since it is divisible by the number (74) 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 70190475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136687824000).

70190475264 is an abundant number, since it is smaller than the sum of its proper divisors (203185172736).

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

70190475264 is a wasteful number, since it uses less digits than its factorization.

70190475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 70190475264 in words is "seventy billion, one hundred ninety million, four hundred seventy-five thousand, two hundred sixty-four".