65552000976 has 640 divisors, whose sum is σ = 241355980800. Its totient is φ = 16542973440.

The previous prime is 65552000959. The next prime is 65552000981. The reversal of 65552000976 is 67900025556.

65552000976 is a `hidden beast` number, since 6 + 5 + 552 + 0 + 0 + 0 + 97 + 6 = 666.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 249247021 + ... + 249247283.

It is an arithmetic number, because the mean of its divisors is an integer number (377118720).

Almost surely, 2^65552000976 is an apocalyptic number.

65552000976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

65552000976 is the 128016-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65552000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677990400).

65552000976 is an abundant number, since it is smaller than the sum of its proper divisors (175803979824).

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

65552000976 is a wasteful number, since it uses less digits than its factorization.

65552000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 65552000976 in words is "sixty-five billion, five hundred fifty-two million, nine hundred seventy-six", and thus it is an aban number.