18764482576400 has 360 divisors, whose sum is σ = 49985046689760. Its totient is φ = 6764141260800.

The previous prime is 18764482576379. The next prime is 18764482576447. The reversal of 18764482576400 is 467528446781.

It is a happy number.

It is a Cunningham number, because it is equal to 4331799²-1.

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 71 ways as a sum of consecutive naturals, for example, 2919629987 + ... + 2919636413.

It is an arithmetic number, because the mean of its divisors is an integer number (138847351916).

Almost surely, 2^{18764482576400} is an apocalyptic number.

18764482576400 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 18764482576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24992523344880).

18764482576400 is an abundant number, since it is smaller than the sum of its proper divisors (31220564113360).

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

18764482576400 is a wasteful number, since it uses less digits than its factorization.

18764482576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 62.

The spelling of 18764482576400 in words is "eighteen trillion, seven hundred sixty-four billion, four hundred eighty-two million, five hundred seventy-six thousand, four hundred".