6407939328480 has 960 divisors, whose sum is σ = 24469317734400. Its totient is φ = 1574403747840.

The previous prime is 6407939328403. The next prime is 6407939328487. The reversal of 6407939328480 is 848239397046.

6407939328480 is a `hidden beast` number, since 6 + 40 + 7 + 9 + 3 + 93 + 28 + 480 = 666.

It is a super-2 number, since 2×6407939328480² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407939328487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6215265565 + ... + 6215266595.

It is an arithmetic number, because the mean of its divisors is an integer number (25488872640).

Almost surely, 2^{6407939328480} is an apocalyptic number.

6407939328480 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 6407939328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12234658867200).

6407939328480 is an abundant number, since it is smaller than the sum of its proper divisors (18061378405920).

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

6407939328480 is a wasteful number, since it uses less digits than its factorization.

6407939328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 6407939328480 in words is "six trillion, four hundred seven billion, nine hundred thirty-nine million, three hundred twenty-eight thousand, four hundred eighty".