55764656640 has 1440 divisors, whose sum is σ = 261014472576. Its totient is φ = 10652221440.

The previous prime is 55764656611. The next prime is 55764656653. The reversal of 55764656640 is 4665646755.

55764656640 is a `hidden beast` number, since 5 + 5 + 76 + 4 + 6 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1296852459 + ... + 1296852501.

Almost surely, 2^55764656640 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 55764656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130507236288).

55764656640 is an abundant number, since it is smaller than the sum of its proper divisors (205249815936).

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

55764656640 is a wasteful number, since it uses less digits than its factorization.

55764656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 55764656640 in words is "fifty-five billion, seven hundred sixty-four million, six hundred fifty-six thousand, six hundred forty".