64269434880 has 720 divisors, whose sum is σ = 266262020640. Its totient is φ = 14665383936.

The previous prime is 64269434843. The next prime is 64269434897. The reversal of 64269434880 is 8843496246.

64269434880 is a `hidden beast` number, since 64 + 2 + 69 + 43 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×64269434880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108379864 + ... + 108380456.

It is an arithmetic number, because the mean of its divisors is an integer number (369808362).

Almost surely, 2^64269434880 is an apocalyptic number.

64269434880 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 64269434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133131010320).

64269434880 is an abundant number, since it is smaller than the sum of its proper divisors (201992585760).

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

64269434880 is an equidigital number, since it uses as much as digits as its factorization.

64269434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 64269434880 in words is "sixty-four billion, two hundred sixty-nine million, four hundred thirty-four thousand, eight hundred eighty".