7646538030912 has 336 divisors, whose sum is σ = 25881625656000. Its totient is φ = 2195176412160.

The previous prime is 7646538030883. The next prime is 7646538030917. The reversal of 7646538030912 is 2190308356467.

7646538030912 is a `hidden beast` number, since 7 + 64 + 6 + 538 + 0 + 30 + 9 + 12 = 666.

It is a super-3 number, since 3×7646538030912³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7646538030917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6304714 + ... + 7419062.

It is a 2-persistent number, because it is pandigital, and so is 2⋅7646538030912 = 15293076061824, but 3⋅7646538030912 = 22939614092736 is not.

Almost surely, 2^{7646538030912} is an apocalyptic number.

7646538030912 is a gapful number since it is divisible by the number (72) 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 7646538030912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940812828000).

7646538030912 is an abundant number, since it is smaller than the sum of its proper divisors (18235087625088).

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

7646538030912 is a wasteful number, since it uses less digits than its factorization.

7646538030912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114419 (or 1114384 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 7646538030912 in words is "seven trillion, six hundred forty-six billion, five hundred thirty-eight million, thirty thousand, nine hundred twelve".