64476959040 has 896 divisors, whose sum is σ = 261732979200. Its totient is φ = 14995611648.

The previous prime is 64476959011. The next prime is 64476959047. The reversal of 64476959040 is 4095967446.

It is a happy number.

64476959040 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 6 + 9 + 590 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64476959047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172860294 + ... + 172860666.

It is an arithmetic number, because the mean of its divisors is an integer number (292112700).

Almost surely, 2^64476959040 is an apocalyptic number.

64476959040 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 64476959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130866489600).

64476959040 is an abundant number, since it is smaller than the sum of its proper divisors (197256020160).

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

64476959040 is a wasteful number, since it uses less digits than its factorization.

64476959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 64476959040 in words is "sixty-four billion, four hundred seventy-six million, nine hundred fifty-nine thousand, forty".