1803952377864 has 512 divisors, whose sum is σ = 6384245145600. Its totient is φ = 459240606720.

The previous prime is 1803952377781. The next prime is 1803952377881. The reversal of 1803952377864 is 4687732593081.

1803952377864 is a `hidden beast` number, since 1 + 8 + 0 + 39 + 523 + 7 + 78 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 92353779 + ... + 92373309.

It is an arithmetic number, because the mean of its divisors is an integer number (12469228800).

It is a 1-persistent number, because it is pandigital, but 2⋅1803952377864 = 3607904755728 is not.

Almost surely, 2^{1803952377864} is an apocalyptic number.

1803952377864 is a gapful number since it is divisible by the number (14) 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 1803952377864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192122572800).

1803952377864 is an abundant number, since it is smaller than the sum of its proper divisors (4580292767736).

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

1803952377864 is a wasteful number, since it uses less digits than its factorization.

1803952377864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19730 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1803952377864 in words is "one trillion, eight hundred three billion, nine hundred fifty-two million, three hundred seventy-seven thousand, eight hundred sixty-four".