6430406644272 has 160 divisors (see below), whose sum is σ = 18100091520000. Its totient is φ = 1955342923776.

The previous prime is 6430406644267. The next prime is 6430406644283. The reversal of 6430406644272 is 2724466040346.

It is a super-2 number, since 2×6430406644272² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110987503 + ... + 111045425.

It is an arithmetic number, because the mean of its divisors is an integer number (113125572000).

Almost surely, 2^{6430406644272} 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 6430406644272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050045760000).

6430406644272 is an abundant number, since it is smaller than the sum of its proper divisors (11669684875728).

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

6430406644272 is a wasteful number, since it uses less digits than its factorization.

6430406644272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60035 (or 60029 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 48.

The spelling of 6430406644272 in words is "six trillion, four hundred thirty billion, four hundred six million, six hundred forty-four thousand, two hundred seventy-two".