7561349250 has 640 divisors, whose sum is σ = 26427098880. Its totient is φ = 1422489600.

The previous prime is 7561349239. The next prime is 7561349321. The reversal of 7561349250 is 529431657.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 397965741 + ... + 397965759.

It is an arithmetic number, because the mean of its divisors is an integer number (41292342).

Almost surely, 2^7561349250 is an apocalyptic number.

7561349250 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 7561349250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213549440).

7561349250 is an abundant number, since it is smaller than the sum of its proper divisors (18865749630).

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

7561349250 is a wasteful number, since it uses less digits than its factorization.

7561349250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 7561349250 is about 86956.0190556122. The cubic root of 7561349250 is about 1962.7565380625.

The spelling of 7561349250 in words is "seven billion, five hundred sixty-one million, three hundred forty-nine thousand, two hundred fifty".