64992872448 has 864 divisors, whose sum is σ = 240772240800. Its totient is φ = 17266507776.

The previous prime is 64992872447. The next prime is 64992872453. The reversal of 64992872448 is 84427829946.

64992872448 is a `hidden beast` number, since 6 + 499 + 2 + 87 + 24 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (55738368) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (64992872447) 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 71 ways as a sum of consecutive naturals, for example, 783046615 + ... + 783046697.

It is an arithmetic number, because the mean of its divisors is an integer number (278671575).

Almost surely, 2^64992872448 is an apocalyptic number.

64992872448 is a gapful number since it is divisible by the number (68) 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 64992872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120386120400).

64992872448 is an abundant number, since it is smaller than the sum of its proper divisors (175779368352).

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

64992872448 is a wasteful number, since it uses less digits than its factorization.

64992872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 64992872448 in words is "sixty-four billion, nine hundred ninety-two million, eight hundred seventy-two thousand, four hundred forty-eight".