9737400960 has 512 divisors, whose sum is σ = 39951360000. Its totient is φ = 2195361792.

The previous prime is 9737400863. The next prime is 9737400973. The reversal of 9737400960 is 690047379.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9555331 + ... + 9556349.

It is an arithmetic number, because the mean of its divisors is an integer number (78030000).

Almost surely, 2^9737400960 is an apocalyptic number.

9737400960 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 9737400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680000).

9737400960 is an abundant number, since it is smaller than the sum of its proper divisors (30213959040).

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

9737400960 is a wasteful number, since it uses less digits than its factorization.

9737400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9737400960 is about 98678.2699483529. The cubic root of 9737400960 is about 2135.4087493713.

The spelling of 9737400960 in words is "nine billion, seven hundred thirty-seven million, four hundred thousand, nine hundred sixty".