990274626432 has 896 divisors, whose sum is σ = 3671011008000. Its totient is φ = 258983350272.

The previous prime is 990274626427. The next prime is 990274626449. The reversal of 990274626432 is 234626472099.

990274626432 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 7 + 4 + 626 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1180303069 + ... + 1180303907.

It is an arithmetic number, because the mean of its divisors is an integer number (4097110500).

Almost surely, 2^990274626432 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 990274626432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835505504000).

990274626432 is an abundant number, since it is smaller than the sum of its proper divisors (2680736381568).

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

990274626432 is a wasteful number, since it uses less digits than its factorization.

990274626432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 990274626432 in words is "nine hundred ninety billion, two hundred seventy-four million, six hundred twenty-six thousand, four hundred thirty-two".