70138080480 has 1152 divisors, whose sum is σ = 280738483200. Its totient is φ = 14559215616.

The previous prime is 70138080433. The next prime is 70138080491. The reversal of 70138080480 is 8408083107.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 788068276 + ... + 788068364.

It is an arithmetic number, because the mean of its divisors is an integer number (243696600).

Almost surely, 2^70138080480 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 70138080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140369241600).

70138080480 is an abundant number, since it is smaller than the sum of its proper divisors (210600402720).

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

70138080480 is a wasteful number, since it uses less digits than its factorization.

70138080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 70138080480 in words is "seventy billion, one hundred thirty-eight million, eighty thousand, four hundred eighty".