990473702400 has 2640 divisors, whose sum is σ = 4695432181440. Its totient is φ = 200658124800.

The previous prime is 990473702347. The next prime is 990473702401. The reversal of 990473702400 is 4207374099.

990473702400 is a `hidden beast` number, since 9 + 90 + 473 + 70 + 24 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (990473702401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5472230310 + ... + 5472230490.

It is an arithmetic number, because the mean of its divisors is an integer number (1778572796).

Almost surely, 2^990473702400 is an apocalyptic number.

990473702400 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 990473702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347716090720).

990473702400 is an abundant number, since it is smaller than the sum of its proper divisors (3704958479040).

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

990473702400 is a wasteful number, since it uses less digits than its factorization.

990473702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 990473702400 in words is "nine hundred ninety billion, four hundred seventy-three million, seven hundred two thousand, four hundred".