6339472957440 has 672 divisors, whose sum is σ = 26045321178240. Its totient is φ = 1449006465024.

The previous prime is 6339472957327. The next prime is 6339472957549. The reversal of 6339472957440 is 447592749336.

It is a happy number.

6339472957440 is a `hidden beast` number, since 6 + 3 + 3 + 9 + 472 + 95 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6339472957440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 69627466 + ... + 69718454.

It is an arithmetic number, because the mean of its divisors is an integer number (38757918420).

Almost surely, 2^{6339472957440} is an apocalyptic number.

6339472957440 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 6339472957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13022660589120).

6339472957440 is an abundant number, since it is smaller than the sum of its proper divisors (19705848220800).

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

6339472957440 is an frugal number, since it uses more digits than its factorization.

6339472957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91042 (or 91006 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 6339472957440 in words is "six trillion, three hundred thirty-nine billion, four hundred seventy-two million, nine hundred fifty-seven thousand, four hundred forty".