64964076840 has 448 divisors, whose sum is σ = 246305888640. Its totient is φ = 15293836800.

The previous prime is 64964076833. The next prime is 64964076851. The reversal of 64964076840 is 4867046946.

64964076840 = T₂₀₆₉₆ + T₂₀₆₉₇ + ... + T₂₀₉₉₄.

64964076840 is a `hidden beast` number, since 6 + 496 + 4 + 0 + 76 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8715115 + ... + 8722565.

It is an arithmetic number, because the mean of its divisors is an integer number (549789930).

Almost surely, 2^64964076840 is an apocalyptic number.

64964076840 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 64964076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152944320).

64964076840 is an abundant number, since it is smaller than the sum of its proper divisors (181341811800).

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

64964076840 is a wasteful number, since it uses less digits than its factorization.

64964076840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 64964076840 in words is "sixty-four billion, nine hundred sixty-four million, seventy-six thousand, eight hundred forty".