64011840480 has 576 divisors, whose sum is σ = 259889430528. Its totient is φ = 14039101440.

The previous prime is 64011840463. The next prime is 64011840493. The reversal of 64011840480 is 8404811046.

64011840480 is a `hidden beast` number, since 64 + 0 + 118 + 4 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39684154 + ... + 39685766.

It is an arithmetic number, because the mean of its divisors is an integer number (451196928).

Almost surely, 2^64011840480 is an apocalyptic number.

64011840480 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 64011840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129944715264).

64011840480 is an abundant number, since it is smaller than the sum of its proper divisors (195877590048).

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

64011840480 is a wasteful number, since it uses less digits than its factorization.

64011840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

It can be divided in two parts, 6401 and 1840480, that added together give a square (1846881 = 1359²).

The spelling of 64011840480 in words is "sixty-four billion, eleven million, eight hundred forty thousand, four hundred eighty".