9671970240 has 280 divisors, whose sum is σ = 35517685632. Its totient is φ = 2495784960.

The previous prime is 9671970193. The next prime is 9671970277. The reversal of 9671970240 is 420791769.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 797502 + ... + 809538.

Almost surely, 2^9671970240 is an apocalyptic number.

9671970240 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 9671970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758842816).

9671970240 is an abundant number, since it is smaller than the sum of its proper divisors (25845715392).

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

9671970240 is a wasteful number, since it uses less digits than its factorization.

9671970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12097 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 9671970240 is about 98346.1755229963. The cubic root of 9671970240 is about 2130.6150177999.

The spelling of 9671970240 in words is "nine billion, six hundred seventy-one million, nine hundred seventy thousand, two hundred forty".