70947409680 has 1280 divisors, whose sum is σ = 311122944000. Its totient is φ = 14793891840.

The previous prime is 70947409649. The next prime is 70947409681. The reversal of 70947409680 is 8690474907.

It is a happy number.

70947409680 is a `hidden beast` number, since 7 + 0 + 9 + 474 + 0 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (70947409681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 541583215 + ... + 541583345.

It is an arithmetic number, because the mean of its divisors is an integer number (243064800).

Almost surely, 2^70947409680 is an apocalyptic number.

70947409680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70947409680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472000).

70947409680 is an abundant number, since it is smaller than the sum of its proper divisors (240175534320).

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

70947409680 is a wasteful number, since it uses less digits than its factorization.

70947409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 70947409680 in words is "seventy billion, nine hundred forty-seven million, four hundred nine thousand, six hundred eighty".