70935218640 has 1920 divisors, whose sum is σ = 327579033600. Its totient is φ = 13974405120.

The previous prime is 70935218569. The next prime is 70935218713. The reversal of 70935218640 is 4681253907.

70935218640 is a `hidden beast` number, since 7 + 0 + 9 + 3 + 521 + 86 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 897914121 + ... + 897914199.

It is an arithmetic number, because the mean of its divisors is an integer number (170614080).

It is a 1-persistent number, because it is pandigital, but 2⋅70935218640 = 141870437280 is not.

Almost surely, 2^70935218640 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 70935218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163789516800).

70935218640 is an abundant number, since it is smaller than the sum of its proper divisors (256643814960).

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

70935218640 is a wasteful number, since it uses less digits than its factorization.

70935218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 70935218640 in words is "seventy billion, nine hundred thirty-five million, two hundred eighteen thousand, six hundred forty".