64849559040 has 800 divisors, whose sum is σ = 271886883840. Its totient is φ = 14464106496.

The previous prime is 64849559009. The next prime is 64849559057. The reversal of 64849559040 is 4095594846.

64849559040 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 9 + 5 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62414841 + ... + 62415879.

Almost surely, 2^64849559040 is an apocalyptic number.

64849559040 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 64849559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135943441920).

64849559040 is an abundant number, since it is smaller than the sum of its proper divisors (207037324800).

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

64849559040 is a wasteful number, since it uses less digits than its factorization.

64849559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 64849559040 in words is "sixty-four billion, eight hundred forty-nine million, five hundred fifty-nine thousand, forty".