7764532096 has 128 divisors (see below), whose sum is σ = 17139916800. Its totient is φ = 3487131648.

The previous prime is 7764532067. The next prime is 7764532099. The reversal of 7764532096 is 6902354677.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7764532099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7103326 + ... + 7104418.

It is an arithmetic number, because the mean of its divisors is an integer number (133905600).

Almost surely, 2^7764532096 is an apocalyptic number.

7764532096 is a gapful number since it is divisible by the number (76) 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 7764532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569958400).

7764532096 is an abundant number, since it is smaller than the sum of its proper divisors (9375384704).

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

7764532096 is a wasteful number, since it uses less digits than its factorization.

7764532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The square root of 7764532096 is about 88116.5824121658. The cubic root of 7764532096 is about 1980.1819456650.

The spelling of 7764532096 in words is "seven billion, seven hundred sixty-four million, five hundred thirty-two thousand, ninety-six".