64119880440 has 1152 divisors, whose sum is σ = 281065075200. Its totient is φ = 12299212800.

The previous prime is 64119880427. The next prime is 64119880457. The reversal of 64119880440 is 4408891146.

64119880440 is a `hidden beast` number, since 6 + 41 + 1 + 98 + 80 + 440 = 666.

It is a super-2 number, since 2×64119880440² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 772528639 + ... + 772528721.

It is an arithmetic number, because the mean of its divisors is an integer number (243980100).

Almost surely, 2^64119880440 is an apocalyptic number.

64119880440 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 64119880440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140532537600).

64119880440 is an abundant number, since it is smaller than the sum of its proper divisors (216945194760).

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

64119880440 is a wasteful number, since it uses less digits than its factorization.

64119880440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 64119880440 in words is "sixty-four billion, one hundred nineteen million, eight hundred eighty thousand, four hundred forty".