6444792480 has 288 divisors, whose sum is σ = 24650027136. Its totient is φ = 1386233856.

The previous prime is 6444792469. The next prime is 6444792493. The reversal of 6444792480 is 842974446.

It is a super-2 number, since 2×6444792480² = 83070700220529100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967722 + ... + 974358.

It is an arithmetic number, because the mean of its divisors is an integer number (85590372).

Almost surely, 2^6444792480 is an apocalyptic number.

6444792480 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 6444792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325013568).

6444792480 is an abundant number, since it is smaller than the sum of its proper divisors (18205234656).

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

6444792480 is a wasteful number, since it uses less digits than its factorization.

6444792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 6444792480 is about 80279.4648711612. The cubic root of 6444792480 is about 1860.9568899932.

The spelling of 6444792480 in words is "six billion, four hundred forty-four million, seven hundred ninety-two thousand, four hundred eighty".