7749628992 has 420 divisors, whose sum is σ = 27431447296. Its totient is φ = 2116938240.

The previous prime is 7749628979. The next prime is 7749629003. The reversal of 7749628992 is 2998269477.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27433728) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 93368983 + ... + 93369065.

Almost surely, 2^7749628992 is an apocalyptic number.

7749628992 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 7749628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13715723648).

7749628992 is an abundant number, since it is smaller than the sum of its proper divisors (19681818304).

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

7749628992 is an equidigital number, since it uses as much as digits as its factorization.

7749628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 126 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 7749628992 is about 88031.9770992337. The cubic root of 7749628992 is about 1978.9142256384.

The spelling of 7749628992 in words is "seven billion, seven hundred forty-nine million, six hundred twenty-eight thousand, nine hundred ninety-two".