1642064400 has 300 divisors, whose sum is σ = 6000099600. Its totient is φ = 429960960.

The previous prime is 1642064383. The next prime is 1642064467. The reversal of 1642064400 is 44602461.

1642064400 is a `hidden beast` number, since 16 + 4 + 2 + 0 + 644 + 0 + 0 = 666.

1642064400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1911171 + ... + 1912029.

It is an arithmetic number, because the mean of its divisors is an integer number (20000332).

Almost surely, 2^1642064400 is an apocalyptic number.

1642064400 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 1642064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000049800).

1642064400 is an abundant number, since it is smaller than the sum of its proper divisors (4358035200).

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

1642064400 is a wasteful number, since it uses less digits than its factorization.

1642064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1642064400 is about 40522.3938088559. The cubic root of 1642064400 is about 1179.7683160955.

Adding to 1642064400 its reverse (44602461), we get a palindrome (1686666861).

The spelling of 1642064400 in words is "one billion, six hundred forty-two million, sixty-four thousand, four hundred".