70755987456 has 624 divisors, whose sum is σ = 266237642880. Its totient is φ = 18362695680.

The previous prime is 70755987439. The next prime is 70755987457. The reversal of 70755987456 is 65478955707.

70755987456 is a `hidden beast` number, since 7 + 0 + 7 + 559 + 8 + 74 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 70755987393 and 70755987402.

It is not an unprimeable number, because it can be changed into a prime (70755987457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59608495 + ... + 59609681.

Almost surely, 2^70755987456 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 70755987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133118821440).

70755987456 is an abundant number, since it is smaller than the sum of its proper divisors (195481655424).

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

70755987456 is a wasteful number, since it uses less digits than its factorization.

70755987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 63.

The spelling of 70755987456 in words is "seventy billion, seven hundred fifty-five million, nine hundred eighty-seven thousand, four hundred fifty-six".