6361044480 has 320 divisors, whose sum is σ = 25824775680. Its totient is φ = 1453842432.

The previous prime is 6361044461. The next prime is 6361044497. The reversal of 6361044480 is 844401636.

6361044480 is a `hidden beast` number, since 636 + 10 + 4 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 477267 + ... + 490413.

It is an arithmetic number, because the mean of its divisors is an integer number (80702424).

Almost surely, 2^6361044480 is an apocalyptic number.

6361044480 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 6361044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912387840).

6361044480 is an abundant number, since it is smaller than the sum of its proper divisors (19463731200).

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

6361044480 is a wasteful number, since it uses less digits than its factorization.

6361044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6361044480 is about 79756.1563767964. The cubic root of 6361044480 is about 1852.8608748020.

The spelling of 6361044480 in words is "six billion, three hundred sixty-one million, forty-four thousand, four hundred eighty".