9764150144 has 128 divisors (see below), whose sum is σ = 22842777600. Its totient is φ = 4070836224.

The previous prime is 9764150101. The next prime is 9764150171. The reversal of 9764150144 is 4410514679.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6030167 + ... + 6031785.

It is an arithmetic number, because the mean of its divisors is an integer number (178459200).

Almost surely, 2^9764150144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9764150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421388800).

9764150144 is an abundant number, since it is smaller than the sum of its proper divisors (13078627456).

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

9764150144 is a wasteful number, since it uses less digits than its factorization.

9764150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 9764150144 is about 98813.7143518044. The cubic root of 9764150144 is about 2137.3623239483.

The spelling of 9764150144 in words is "nine billion, seven hundred sixty-four million, one hundred fifty thousand, one hundred forty-four".