6459747546400 has 144 divisors (see below), whose sum is σ = 15815333457000. Its totient is φ = 2576454451200.

The previous prime is 6459747546383. The next prime is 6459747546419. The reversal of 6459747546400 is 46457479546.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1409282385424 + 5050465160976 = 1187132^2 + 2247324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925859712 + ... + 925866688.

Almost surely, 2^{6459747546400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6459747546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907666728500).

6459747546400 is an abundant number, since it is smaller than the sum of its proper divisors (9355585910600).

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

6459747546400 is a wasteful number, since it uses less digits than its factorization.

6459747546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167 (or 10154 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 61.

The spelling of 6459747546400 in words is "six trillion, four hundred fifty-nine billion, seven hundred forty-seven million, five hundred forty-six thousand, four hundred".