6430140194688 has 2560 divisors, whose sum is σ = 25251139584000. Its totient is φ = 1615297904640.

The previous prime is 6430140194659. The next prime is 6430140194693. The reversal of 6430140194688 is 8864910410346.

6430140194688 is a `hidden beast` number, since 6 + 4 + 30 + 140 + 1 + 9 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 88084112220 + ... + 88084112292.

It is an arithmetic number, because the mean of its divisors is an integer number (9863726400).

Almost surely, 2^{6430140194688} is an apocalyptic number.

6430140194688 is a gapful number since it is divisible by the number (68) 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 6430140194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625569792000).

6430140194688 is an abundant number, since it is smaller than the sum of its proper divisors (18820999389312).

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

6430140194688 is a wasteful number, since it uses less digits than its factorization.

6430140194688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6430140194688 in words is "six trillion, four hundred thirty billion, one hundred forty million, one hundred ninety-four thousand, six hundred eighty-eight".