901674385920 has 1440 divisors, whose sum is σ = 4196914166016. Its totient is φ = 176298393600.

The previous prime is 901674385907. The next prime is 901674385961. The reversal of 901674385920 is 29583476109.

901674385920 is a `hidden beast` number, since 9 + 0 + 1 + 6 + 7 + 43 + 8 + 592 + 0 = 666.

901674385920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211113385 + ... + 211117655.

It is a 1-persistent number, because it is pandigital, but 2⋅901674385920 = 1803348771840 is not.

Almost surely, 2^901674385920 is an apocalyptic number.

901674385920 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 901674385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098457083008).

901674385920 is an abundant number, since it is smaller than the sum of its proper divisors (3295239780096).

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

901674385920 is a wasteful number, since it uses less digits than its factorization.

901674385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 901674385920 in words is "nine hundred one billion, six hundred seventy-four million, three hundred eighty-five thousand, nine hundred twenty".