70665408000 has 960 divisors, whose sum is σ = 292773761280. Its totient is φ = 16201728000.

The previous prime is 70665407963. The next prime is 70665408007. The reversal of 70665408000 is 80456607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70665408007) 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, 120383707 + ... + 120384293.

It is an arithmetic number, because the mean of its divisors is an integer number (304972668).

Almost surely, 2^70665408000 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 70665408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146386880640).

70665408000 is an abundant number, since it is smaller than the sum of its proper divisors (222108353280).

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

70665408000 is a wasteful number, since it uses less digits than its factorization.

70665408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 70665408000 in words is "seventy billion, six hundred sixty-five million, four hundred eight thousand".