700785552960 has 896 divisors, whose sum is σ = 2627666657280. Its totient is φ = 175575859200.

The previous prime is 700785552959. The next prime is 700785553007. The reversal of 700785552960 is 69255587007.

700785552960 is a `hidden beast` number, since 7 + 0 + 0 + 7 + 8 + 55 + 529 + 60 = 666.

It is a super-2 number, since 2×700785552960² (a number of 24 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 = 700785552897 and 700785552906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1664573550 + ... + 1664573970.

It is an arithmetic number, because the mean of its divisors is an integer number (2932663680).

Almost surely, 2^700785552960 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 700785552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313833328640).

700785552960 is an abundant number, since it is smaller than the sum of its proper divisors (1926881104320).

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

700785552960 is a wasteful number, since it uses less digits than its factorization.

700785552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 700785552960 in words is "seven hundred billion, seven hundred eighty-five million, five hundred fifty-two thousand, nine hundred sixty".