70647808000 has 504 divisors, whose sum is σ = 223774400304. Its totient is φ = 22020096000.

The previous prime is 70647807983. The next prime is 70647808001. The reversal of 70647808000 is 80874607.

It is a super-2 number, since 2×70647808000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70647808001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6422527995 + ... + 6422528005.

It is an arithmetic number, because the mean of its divisors is an integer number (443996826).

Almost surely, 2^70647808000 is an apocalyptic number.

70647808000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

70647808000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70647808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111887200152).

70647808000 is an abundant number, since it is smaller than the sum of its proper divisors (153126592304).

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

70647808000 is an frugal number, since it uses more digits than its factorization.

70647808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 70647808000 in words is "seventy billion, six hundred forty-seven million, eight hundred eight thousand".