6430367712240 has 240 divisors, whose sum is σ = 23153920033440. Its totient is φ = 1640209443840.

The previous prime is 6430367712239. The next prime is 6430367712277. The reversal of 6430367712240 is 422177630346.

6430367712240 is a `hidden beast` number, since 6 + 4 + 30 + 367 + 7 + 12 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 1671181 + ... + 3956460.

It is an arithmetic number, because the mean of its divisors is an integer number (96474666806).

Almost surely, 2^{6430367712240} is an apocalyptic number.

6430367712240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6430367712240 is an abundant number, since it is smaller than the sum of its proper divisors (16723552321200).

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

6430367712240 is a wasteful number, since it uses less digits than its factorization.

6430367712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627709 (or 5627674 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 6430367712240 in words is "six trillion, four hundred thirty billion, three hundred sixty-seven million, seven hundred twelve thousand, two hundred forty".