6511230738432 has 672 divisors, whose sum is σ = 22721079414240. Its totient is φ = 1860100816896.

The previous prime is 6511230738431. The next prime is 6511230738443. The reversal of 6511230738432 is 2348370321156.

6511230738432 is a `hidden beast` number, since 6 + 5 + 1 + 1 + 230 + 7 + 384 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6511230738432² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6511230738431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877875588 + ... + 877883004.

Almost surely, 2^{6511230738432} 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 6511230738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360539707120).

6511230738432 is an abundant number, since it is smaller than the sum of its proper divisors (16209848675808).

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

6511230738432 is an frugal number, since it uses more digits than its factorization.

6511230738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6511230738432 in words is "six trillion, five hundred eleven billion, two hundred thirty million, seven hundred thirty-eight thousand, four hundred thirty-two".