70829960760 has 896 divisors, whose sum is σ = 282597336000. Its totient is φ = 15801827328.

The previous prime is 70829960741. The next prime is 70829960827. The reversal of 70829960760 is 6706992807.

70829960760 is a `hidden beast` number, since 7 + 0 + 8 + 29 + 9 + 607 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 70829960697 and 70829960706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 186886251 + ... + 186886629.

Almost surely, 2^70829960760 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 70829960760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141298668000).

70829960760 is an abundant number, since it is smaller than the sum of its proper divisors (211767375240).

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

70829960760 is a wasteful number, since it uses less digits than its factorization.

70829960760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 70829960760 in words is "seventy billion, eight hundred twenty-nine million, nine hundred sixty thousand, seven hundred sixty".