7741249920 has 256 divisors, whose sum is σ = 27531187200. Its totient is φ = 2055739392.

The previous prime is 7741249903. The next prime is 7741249949. The reversal of 7741249920 is 299421477.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4889449 + ... + 4891031.

It is an arithmetic number, because the mean of its divisors is an integer number (107543700).

Almost surely, 2^7741249920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7741249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13765593600).

7741249920 is an abundant number, since it is smaller than the sum of its proper divisors (19789937280).

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

7741249920 is a wasteful number, since it uses less digits than its factorization.

7741249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7741249920 is about 87984.3731579648. The cubic root of 7741249920 is about 1978.2007530119.

The spelling of 7741249920 in words is "seven billion, seven hundred forty-one million, two hundred forty-nine thousand, nine hundred twenty".