64480060800 has 384 divisors, whose sum is σ = 236573251200. Its totient is φ = 17151436800.

The previous prime is 64480060783. The next prime is 64480060807. The reversal of 64480060800 is 806008446.

64480060800 is a `hidden beast` number, since 6 + 4 + 48 + 0 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64480060807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49333747 + ... + 49335053.

It is an arithmetic number, because the mean of its divisors is an integer number (616076175).

Almost surely, 2^64480060800 is an apocalyptic number.

64480060800 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 64480060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286625600).

64480060800 is an abundant number, since it is smaller than the sum of its proper divisors (172093190400).

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

64480060800 is a wasteful number, since it uses less digits than its factorization.

64480060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 644800 and 60800, that added together give a square (705600 = 840²).

The spelling of 64480060800 in words is "sixty-four billion, four hundred eighty million, sixty thousand, eight hundred".