70787824560 has 280 divisors, whose sum is σ = 261278589600. Its totient is φ = 17766107136.

The previous prime is 70787824537. The next prime is 70787824573. The reversal of 70787824560 is 6542878707.

It is a happy number.

70787824560 is a `hidden beast` number, since 7 + 0 + 7 + 8 + 78 + 2 + 4 + 560 = 666.

It is a super-2 number, since 2×70787824560² (a number of 23 digits) contains 22 as substring.

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 = 70787824497 and 70787824506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 955741 + ... + 1027139.

It is an arithmetic number, because the mean of its divisors is an integer number (933137820).

Almost surely, 2^70787824560 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 70787824560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130639294800).

70787824560 is an abundant number, since it is smaller than the sum of its proper divisors (190490765040).

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

70787824560 is a wasteful number, since it uses less digits than its factorization.

70787824560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71447 (or 71426 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 70787824560 in words is "seventy billion, seven hundred eighty-seven million, eight hundred twenty-four thousand, five hundred sixty".