6306612480 has 576 divisors, whose sum is σ = 25901568000. Its totient is φ = 1423319040.

The previous prime is 6306612479. The next prime is 6306612493. The reversal of 6306612480 is 842166036.

6306612480 is a `hidden beast` number, since 6 + 30 + 6 + 612 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 31691421 + ... + 31691619.

It is an arithmetic number, because the mean of its divisors is an integer number (44968000).

Almost surely, 2^6306612480 is an apocalyptic number.

6306612480 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 6306612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950784000).

6306612480 is an abundant number, since it is smaller than the sum of its proper divisors (19594955520).

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

6306612480 is a wasteful number, since it uses less digits than its factorization.

6306612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6306612480 is about 79414.1831161160. The cubic root of 6306612480 is about 1847.5606984122.

The spelling of 6306612480 in words is "six billion, three hundred six million, six hundred twelve thousand, four hundred eighty".