64963067904 has 720 divisors, whose sum is σ = 232792496160. Its totient is φ = 18059231232.

The previous prime is 64963067843. The next prime is 64963067909. The reversal of 64963067904 is 40976036946.

64963067904 is a `hidden beast` number, since 6 + 496 + 3 + 0 + 67 + 90 + 4 = 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 (64963067909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1755758574 + ... + 1755758610.

Almost surely, 2^64963067904 is an apocalyptic number.

64963067904 is a gapful number since it is divisible by the number (64) 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 64963067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116396248080).

64963067904 is an abundant number, since it is smaller than the sum of its proper divisors (167829428256).

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

64963067904 is an frugal number, since it uses more digits than its factorization.

64963067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 64963067904 in words is "sixty-four billion, nine hundred sixty-three million, sixty-seven thousand, nine hundred four".