7390776960 has 896 divisors, whose sum is σ = 31679861760. Its totient is φ = 1612431360.

The previous prime is 7390776947. The next prime is 7390777001. The reversal of 7390776960 is 696770937.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 7390776897 and 7390776906.

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 111 ways as a sum of consecutive naturals, for example, 101243484 + ... + 101243556.

Almost surely, 2^7390776960 is an apocalyptic number.

7390776960 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 7390776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839930880).

7390776960 is an abundant number, since it is smaller than the sum of its proper divisors (24289084800).

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

7390776960 is an equidigital number, since it uses as much as digits as its factorization.

7390776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 7390776960 is about 85969.6281252862. The cubic root of 7390776960 is about 1947.8852340023.

The spelling of 7390776960 in words is "seven billion, three hundred ninety million, seven hundred seventy-six thousand, nine hundred sixty".