7764449472 has 378 divisors, whose sum is σ = 25201517796. Its totient is φ = 2284139520.

The previous prime is 7764449471. The next prime is 7764449479. The reversal of 7764449472 is 2749444677.

7764449472 is a `hidden beast` number, since 77 + 64 + 4 + 49 + 472 = 666.

Its product of digits (9483264) is a multiple of the sum of its prime factors (189).

It is not an unprimeable number, because it can be changed into a prime (7764449471) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 93547543 + ... + 93547625.

It is an arithmetic number, because the mean of its divisors is an integer number (66670682).

Almost surely, 2^7764449472 is an apocalyptic number.

7764449472 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 7764449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12600758898).

7764449472 is an abundant number, since it is smaller than the sum of its proper divisors (17437068324).

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

7764449472 is a wasteful number, since it uses less digits than its factorization.

7764449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 132 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 7764449472 is about 88116.1135774837. The cubic root of 7764449472 is about 1980.1749217975.

The spelling of 7764449472 in words is "seven billion, seven hundred sixty-four million, four hundred forty-nine thousand, four hundred seventy-two".