9752687490 has 192 divisors, whose sum is σ = 29275174656. Its totient is φ = 2035777536.

The previous prime is 9752687489. The next prime is 9752687491. The reversal of 9752687490 is 947862579.

It is an interprime number because it is at equal distance from previous prime (9752687489) and next prime (9752687491).

It is a super-2 number, since 2×9752687490² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9752687490.

It is not an unprimeable number, because it can be changed into a prime (9752687491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3441114 + ... + 3443946.

It is an arithmetic number, because the mean of its divisors is an integer number (152474868).

Almost surely, 2^9752687490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9752687490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637587328).

9752687490 is an abundant number, since it is smaller than the sum of its proper divisors (19522487166).

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

9752687490 is a wasteful number, since it uses less digits than its factorization.

9752687490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 9752687490 is about 98755.6959876239. The cubic root of 9752687490 is about 2136.5256087568.

The spelling of 9752687490 in words is "nine billion, seven hundred fifty-two million, six hundred eighty-seven thousand, four hundred ninety".