6430233438720 has 3840 divisors, whose sum is σ = 30748751953920. Its totient is φ = 1203948748800.

The previous prime is 6430233438641. The next prime is 6430233438737. The reversal of 6430233438720 is 278343320346.

6430233438720 is a `hidden beast` number, since 6 + 4 + 30 + 233 + 4 + 387 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50631759297 + ... + 50631759423.

It is an arithmetic number, because the mean of its divisors is an integer number (8007487488).

Almost surely, 2^{6430233438720} is an apocalyptic number.

6430233438720 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 6430233438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15374375976960).

6430233438720 is an abundant number, since it is smaller than the sum of its proper divisors (24318518515200).

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

6430233438720 is a wasteful number, since it uses less digits than its factorization.

6430233438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 6430233438720 in words is "six trillion, four hundred thirty billion, two hundred thirty-three million, four hundred thirty-eight thousand, seven hundred twenty".