6309400366080 has 528 divisors, whose sum is σ = 25910445200640. Its totient is φ = 1442146664448.

The previous prime is 6309400366069. The next prime is 6309400366121. The reversal of 6309400366080 is 806630049036.

6309400366080 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 4 + 0 + 0 + 36 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8346891 + ... + 9071349.

It is an arithmetic number, because the mean of its divisors is an integer number (49072812880).

Almost surely, 2^{6309400366080} is an apocalyptic number.

6309400366080 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 6309400366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12955222600320).

6309400366080 is an abundant number, since it is smaller than the sum of its proper divisors (19601044834560).

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

6309400366080 is an equidigital number, since it uses as much as digits as its factorization.

6309400366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724506 (or 724476 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 6309400366080 in words is "six trillion, three hundred nine billion, four hundred million, three hundred sixty-six thousand, eighty".