7650839464272 has 240 divisors, whose sum is σ = 22230418828800. Its totient is φ = 2454502901760.

The previous prime is 7650839464141. The next prime is 7650839464273. The reversal of 7650839464272 is 2724649380567.

7650839464272 is a `hidden beast` number, since 76 + 5 + 0 + 8 + 39 + 464 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7650839464273) 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, 607733754 + ... + 607746342.

It is an arithmetic number, because the mean of its divisors is an integer number (92626745120).

Almost surely, 2^{7650839464272} is an apocalyptic number.

7650839464272 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 7650839464272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115209414400).

7650839464272 is an abundant number, since it is smaller than the sum of its proper divisors (14579579364528).

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

7650839464272 is a wasteful number, since it uses less digits than its factorization.

7650839464272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 7650839464272 in words is "seven trillion, six hundred fifty billion, eight hundred thirty-nine million, four hundred sixty-four thousand, two hundred seventy-two".