64953433440 has 1344 divisors, whose sum is σ = 285572044800. Its totient is φ = 13625044992.

The previous prime is 64953433439. The next prime is 64953433469. The reversal of 64953433440 is 4433435946.

64953433440 is a `hidden beast` number, since 6 + 49 + 534 + 3 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 822195321 + ... + 822195399.

It is an arithmetic number, because the mean of its divisors is an integer number (212479200).

Almost surely, 2^64953433440 is an apocalyptic number.

64953433440 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 64953433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142786022400).

64953433440 is an abundant number, since it is smaller than the sum of its proper divisors (220618611360).

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

64953433440 is a wasteful number, since it uses less digits than its factorization.

64953433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 64953433440 in words is "sixty-four billion, nine hundred fifty-three million, four hundred thirty-three thousand, four hundred forty".