70662088800 has 288 divisors, whose sum is σ = 257583513600. Its totient is φ = 18694126080.

The previous prime is 70662088793. The next prime is 70662088801. The reversal of 70662088800 is 888026607.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70662088801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730321 + ... + 2756079.

It is an arithmetic number, because the mean of its divisors is an integer number (894387200).

Almost surely, 2^70662088800 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 70662088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128791756800).

70662088800 is an abundant number, since it is smaller than the sum of its proper divisors (186921424800).

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

70662088800 is a wasteful number, since it uses less digits than its factorization.

70662088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25915 (or 25896 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 70662088800 in words is "seventy billion, six hundred sixty-two million, eighty-eight thousand, eight hundred".