1827490064400 has 5760 divisors, whose sum is σ = 9894566707200. Its totient is φ = 313528320000.

The previous prime is 1827490064371. The next prime is 1827490064443. The reversal of 1827490064400 is 44600947281.

1827490064400 is a `hidden beast` number, since 182 + 7 + 4 + 9 + 0 + 0 + 64 + 400 = 666.

It is a super-2 number, since 2×1827490064400² (a number of 25 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 polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 44572928380 + ... + 44572928420.

It is an arithmetic number, because the mean of its divisors is an integer number (1717806720).

Almost surely, 2^{1827490064400} is an apocalyptic number.

1827490064400 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 1827490064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947283353600).

1827490064400 is an abundant number, since it is smaller than the sum of its proper divisors (8067076642800).

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

1827490064400 is a wasteful number, since it uses less digits than its factorization.

1827490064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1827490064400 in words is "one trillion, eight hundred twenty-seven billion, four hundred ninety million, sixty-four thousand, four hundred".