9752154720 has 864 divisors, whose sum is σ = 41486909184. Its totient is φ = 1884241920.

The previous prime is 9752154677. The next prime is 9752154749. The reversal of 9752154720 is 274512579.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117495799 + ... + 117495881.

It is an arithmetic number, because the mean of its divisors is an integer number (48017256).

Almost surely, 2^9752154720 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 9752154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743454592).

9752154720 is an abundant number, since it is smaller than the sum of its proper divisors (31734754464).

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

9752154720 is a wasteful number, since it uses less digits than its factorization.

9752154720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 9752154720 is about 98752.9985367533. The cubic root of 9752154720 is about 2136.4867033277.

The spelling of 9752154720 in words is "nine billion, seven hundred fifty-two million, one hundred fifty-four thousand, seven hundred twenty".