3633042188160 has 1024 divisors, whose sum is σ = 16314255360000. Its totient is φ = 742106603520.

The previous prime is 3633042188147. The next prime is 3633042188173. The reversal of 3633042188160 is 618812403363.

3633042188160 is a `hidden beast` number, since 3 + 6 + 3 + 304 + 2 + 188 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (3633042188147) and next prime (3633042188173).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78479901 + ... + 78526179.

It is an arithmetic number, because the mean of its divisors is an integer number (15931890000).

Almost surely, 2^{3633042188160} is an apocalyptic number.

3633042188160 is a gapful number since it is divisible by the number (30) 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 3633042188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157127680000).

3633042188160 is an abundant number, since it is smaller than the sum of its proper divisors (12681213171840).

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

3633042188160 is a wasteful number, since it uses less digits than its factorization.

3633042188160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46384 (or 46366 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3633042188160 in words is "three trillion, six hundred thirty-three billion, forty-two million, one hundred eighty-eight thousand, one hundred sixty".