70152609280 has 320 divisors, whose sum is σ = 185798733120. Its totient is φ = 25246826496.

The previous prime is 70152609251. The next prime is 70152609311. The reversal of 70152609280 is 8290625107.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301084044 + ... + 301084276.

It is an arithmetic number, because the mean of its divisors is an integer number (580621041).

Almost surely, 2^70152609280 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 70152609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92899366560).

70152609280 is an abundant number, since it is smaller than the sum of its proper divisors (115646123840).

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

70152609280 is a wasteful number, since it uses less digits than its factorization.

70152609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 70152609280 in words is "seventy billion, one hundred fifty-two million, six hundred nine thousand, two hundred eighty".