1164876387840 has 640 divisors, whose sum is σ = 4531010711040. Its totient is φ = 281323929600.

The previous prime is 1164876387821. The next prime is 1164876387901. The reversal of 1164876387840 is 487836784611.

1164876387840 is a `hidden beast` number, since 1 + 16 + 487 + 6 + 38 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210605875 + ... + 210611405.

It is an arithmetic number, because the mean of its divisors is an integer number (7079704236).

Almost surely, 2^{1164876387840} is an apocalyptic number.

1164876387840 is a gapful number since it is divisible by the number (10) 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 1164876387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265505355520).

1164876387840 is an abundant number, since it is smaller than the sum of its proper divisors (3366134323200).

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

1164876387840 is a wasteful number, since it uses less digits than its factorization.

1164876387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 1164876387840 in words is "one trillion, one hundred sixty-four billion, eight hundred seventy-six million, three hundred eighty-seven thousand, eight hundred forty".