74826990000 has 1200 divisors, whose sum is σ = 319799031552. Its totient is φ = 16578432000.

The previous prime is 74826989969. The next prime is 74826990061. The reversal of 74826990000 is 9962847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 901529959 + ... + 901530041.

Almost surely, 2^74826990000 is an apocalyptic number.

74826990000 is a gapful number since it is divisible by the number (70) 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 74826990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159899515776).

74826990000 is an abundant number, since it is smaller than the sum of its proper divisors (244972041552).

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

74826990000 is an equidigital number, since it uses as much as digits as its factorization.

74826990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 74826990000 in words is "seventy-four billion, eight hundred twenty-six million, nine hundred ninety thousand".