9740641000 has 48 divisors (see below), whose sum is σ = 22800405420. Its totient is φ = 3895008000.

The previous prime is 9740640971. The next prime is 9740641021. The reversal of 9740641000 is 1460479.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 2927459236 + 6813181764 = 54106^2 + 82542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3119440 + ... + 3122560.

Almost surely, 2^9740641000 is an apocalyptic number.

It is an amenable number.

9740641000 is an abundant number, since it is smaller than the sum of its proper divisors (13059764420).

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

9740641000 is an frugal number, since it uses more digits than its factorization.

9740641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 9740641000 is about 98694.6857738551. The cubic root of 9740641000 is about 2135.6455696667.

The spelling of 9740641000 in words is "nine billion, seven hundred forty million, six hundred forty-one thousand".