18379146240 has 880 divisors, whose sum is σ = 81225484032. Its totient is φ = 3869835264.

The previous prime is 18379146223. The next prime is 18379146257. The reversal of 18379146240 is 4264197381.

18379146240 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 9 + 14 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18379146223) and next prime (18379146257).

It is a super-2 number, since 2×18379146240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739277 + ... + 37739763.

Almost surely, 2^18379146240 is an apocalyptic number.

18379146240 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 18379146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40612742016).

18379146240 is an abundant number, since it is smaller than the sum of its proper divisors (62846337792).

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

18379146240 is a wasteful number, since it uses less digits than its factorization.

18379146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18379146240 in words is "eighteen billion, three hundred seventy-nine million, one hundred forty-six thousand, two hundred forty".