9952746480 has 160 divisors (see below), whose sum is σ = 34416993600. Its totient is φ = 2643591168.

The previous prime is 9952746469. The next prime is 9952746511. The reversal of 9952746480 is 846472599.

9952746480 is a `hidden beast` number, since 9 + 95 + 2 + 74 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546156 + ... + 564084.

It is an arithmetic number, because the mean of its divisors is an integer number (215106210).

Almost surely, 2^9952746480 is an apocalyptic number.

9952746480 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 9952746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208496800).

9952746480 is an abundant number, since it is smaller than the sum of its proper divisors (24464247120).

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

9952746480 is a wasteful number, since it uses less digits than its factorization.

9952746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18208 (or 18196 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 9952746480 is about 99763.4526267009. The cubic root of 9952746480 is about 2151.0358433908.

The spelling of 9952746480 in words is "nine billion, nine hundred fifty-two million, seven hundred forty-six thousand, four hundred eighty".