9757440000 has 1080 divisors, whose sum is σ = 44237433240. Its totient is φ = 2027520000.

The previous prime is 9757439947. The next prime is 9757440031. The reversal of 9757440000 is 447579.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 887039995 + ... + 887040005.

Almost surely, 2^9757440000 is an apocalyptic number.

9757440000 is a gapful number since it is divisible by the number (90) 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 9757440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118716620).

9757440000 is an abundant number, since it is smaller than the sum of its proper divisors (34479993240).

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

9757440000 is a wasteful number, since it uses less digits than its factorization.

9757440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 9757440000 is about 98779.7550108321. The cubic root of 9757440000 is about 2136.8725972303.

Adding to 9757440000 its reverse (447579), we get a palindrome (9757887579).

The spelling of 9757440000 in words is "nine billion, seven hundred fifty-seven million, four hundred forty thousand".