18954673920 has 1440 divisors, whose sum is σ = 87255907200. Its totient is φ = 3901685760.

The previous prime is 18954673861. The next prime is 18954673951. The reversal of 18954673920 is 2937645981.

18954673920 is a `hidden beast` number, since 1 + 8 + 9 + 546 + 7 + 3 + 92 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 462309100 + ... + 462309140.

It is an arithmetic number, because the mean of its divisors is an integer number (60594380).

It is a 1-persistent number, because it is pandigital, but 2⋅18954673920 = 37909347840 is not.

Almost surely, 2^18954673920 is an apocalyptic number.

18954673920 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 18954673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43627953600).

18954673920 is an abundant number, since it is smaller than the sum of its proper divisors (68301233280).

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

18954673920 is an equidigital number, since it uses as much as digits as its factorization.

18954673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

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

The spelling of 18954673920 in words is "eighteen billion, nine hundred fifty-four million, six hundred seventy-three thousand, nine hundred twenty".