649975788000 has 3456 divisors, whose sum is σ = 3229955688960. Its totient is φ = 121927680000.

The previous prime is 649975787999. The next prime is 649975788013. The reversal of 649975788000 is 887579946.

649975788000 is a `hidden beast` number, since 6 + 499 + 75 + 78 + 8 + 0 + 0 + 0 = 666.

649975788000 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15115715979 + ... + 15115716021.

It is an arithmetic number, because the mean of its divisors is an integer number (934593660).

Almost surely, 2^649975788000 is an apocalyptic number.

649975788000 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 649975788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614977844480).

649975788000 is an abundant number, since it is smaller than the sum of its proper divisors (2579979900960).

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

649975788000 is a wasteful number, since it uses less digits than its factorization.

649975788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 649975788000 in words is "six hundred forty-nine billion, nine hundred seventy-five million, seven hundred eighty-eight thousand".