649651796640 has 1152 divisors, whose sum is σ = 2838525161472. Its totient is φ = 131403202560.

The previous prime is 649651796609. The next prime is 649651796663. The reversal of 649651796640 is 46697156946.

649651796640 is a `hidden beast` number, since 6 + 496 + 5 + 17 + 96 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 671821437 + ... + 671822403.

It is an arithmetic number, because the mean of its divisors is an integer number (2463997536).

Almost surely, 2^649651796640 is an apocalyptic number.

649651796640 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 649651796640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419262580736).

649651796640 is an abundant number, since it is smaller than the sum of its proper divisors (2188873364832).

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

649651796640 is a wasteful number, since it uses less digits than its factorization.

649651796640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 649651796640 in words is "six hundred forty-nine billion, six hundred fifty-one million, seven hundred ninety-six thousand, six hundred forty".