1662818400 has 216 divisors, whose sum is σ = 5904872064. Its totient is φ = 440294400.

The previous prime is 1662818371. The next prime is 1662818401. The reversal of 1662818400 is 48182661.

1662818400 is a `hidden beast` number, since 16 + 628 + 18 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1662818401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1129665 + ... + 1131135.

Almost surely, 2^1662818400 is an apocalyptic number.

1662818400 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 1662818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952436032).

1662818400 is an abundant number, since it is smaller than the sum of its proper divisors (4242053664).

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

1662818400 is a wasteful number, since it uses less digits than its factorization.

1662818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1662818400 is about 40777.6703601371. The cubic root of 1662818400 is about 1184.7178733372.

The spelling of 1662818400 in words is "one billion, six hundred sixty-two million, eight hundred eighteen thousand, four hundred".