9903652920 has 320 divisors, whose sum is σ = 38201771520. Its totient is φ = 2254231296.

The previous prime is 9903652907. The next prime is 9903652931. The reversal of 9903652920 is 292563099.

9903652920 is a `hidden beast` number, since 9 + 90 + 36 + 529 + 2 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 6417669 + ... + 6419211.

It is an arithmetic number, because the mean of its divisors is an integer number (119380536).

Almost surely, 2^9903652920 is an apocalyptic number.

9903652920 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 9903652920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19100885760).

9903652920 is an abundant number, since it is smaller than the sum of its proper divisors (28298118600).

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

9903652920 is a wasteful number, since it uses less digits than its factorization.

9903652920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9903652920 is about 99517.0986313407. The cubic root of 9903652920 is about 2147.4932327176.

The spelling of 9903652920 in words is "nine billion, nine hundred three million, six hundred fifty-two thousand, nine hundred twenty".