901074800379600 has 1800 divisors, whose sum is σ = 4203951600252096. Its totient is φ = 182669437440000.

The previous prime is 901074800379599. The next prime is 901074800379617. The reversal of 901074800379600 is 6973008470109.

It is a happy number.

901074800379600 is a `hidden beast` number, since 90 + 1 + 0 + 7 + 480 + 0 + 3 + 79 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 715378365 + ... + 716636835.

Almost surely, 2^{901074800379600} is an apocalyptic number.

901074800379600 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 901074800379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101975800126048).

901074800379600 is an abundant number, since it is smaller than the sum of its proper divisors (3302876799872496).

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

901074800379600 is a wasteful number, since it uses less digits than its factorization.

901074800379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258567 (or 1258540 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 901074800379600 in words is "nine hundred one trillion, seventy-four billion, eight hundred million, three hundred seventy-nine thousand, six hundred".