649601512560 has 3200 divisors, whose sum is σ = 3305992402944. Its totient is φ = 113706270720.

The previous prime is 649601512507. The next prime is 649601512633. The reversal of 649601512560 is 65215106946.

649601512560 is a `hidden beast` number, since 6 + 4 + 9 + 60 + 15 + 12 + 560 = 666.

649601512560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4741616812 + ... + 4741616948.

Almost surely, 2^649601512560 is an apocalyptic number.

649601512560 is a gapful number since it is divisible by the number (60) 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 649601512560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652996201472).

649601512560 is an abundant number, since it is smaller than the sum of its proper divisors (2656390890384).

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

649601512560 is a wasteful number, since it uses less digits than its factorization.

649601512560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 649601512560 in words is "six hundred forty-nine billion, six hundred one million, five hundred twelve thousand, five hundred sixty".