7910268450 has 288 divisors, whose sum is σ = 23816332800. Its totient is φ = 1730534400.

The previous prime is 7910268439. The next prime is 7910268451. The reversal of 7910268450 is 548620197.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7910268451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33949534 + ... + 33949766.

It is an arithmetic number, because the mean of its divisors is an integer number (82695600).

Almost surely, 2^7910268450 is an apocalyptic number.

7910268450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7910268450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908166400).

7910268450 is an abundant number, since it is smaller than the sum of its proper divisors (15906064350).

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

7910268450 is a wasteful number, since it uses less digits than its factorization.

7910268450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7910268450 is about 88939.6899589829. The cubic root of 7910268450 is about 1992.4942378379.

The spelling of 7910268450 in words is "seven billion, nine hundred ten million, two hundred sixty-eight thousand, four hundred fifty".