7736480640 has 384 divisors, whose sum is σ = 31876999200. Its totient is φ = 1768144896.

The previous prime is 7736480639. The next prime is 7736480663. The reversal of 7736480640 is 460846377.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842152 + ... + 851288.

Almost surely, 2^7736480640 is an apocalyptic number.

7736480640 is a gapful number since it is divisible by the number (70) 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 7736480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938499600).

7736480640 is an abundant number, since it is smaller than the sum of its proper divisors (24140518560).

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

7736480640 is a wasteful number, since it uses less digits than its factorization.

7736480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7736480640 is about 87957.2659875237. The cubic root of 7736480640 is about 1977.7944219260.

The spelling of 7736480640 in words is "seven billion, seven hundred thirty-six million, four hundred eighty thousand, six hundred forty".