4412780064 has 576 divisors, whose sum is σ = 16605388800. Its totient is φ = 1100736000.

The previous prime is 4412780011. The next prime is 4412780129. The reversal of 4412780064 is 4600872144.

4412780064 = 29³ + 30³ + ... + 364³.

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

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, 33685279 + ... + 33685409.

It is an arithmetic number, because the mean of its divisors is an integer number (28828800).

Almost surely, 2^4412780064 is an apocalyptic number.

4412780064 is a gapful number since it is divisible by the number (44) 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 4412780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302694400).

4412780064 is an abundant number, since it is smaller than the sum of its proper divisors (12192608736).

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

4412780064 is a wasteful number, since it uses less digits than its factorization.

4412780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4412780064 is about 66428.7593140200. The cubic root of 4412780064 is about 1640.2275194953.

The spelling of 4412780064 in words is "four billion, four hundred twelve million, seven hundred eighty thousand, sixty-four".