1642104576 has 288 divisors, whose sum is σ = 5631628800. Its totient is φ = 468052992.

The previous prime is 1642104551. The next prime is 1642104577. The reversal of 1642104576 is 6754012461.

1642104576 is a `hidden beast` number, since 1 + 64 + 21 + 0 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1642104576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642104577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918895 + ... + 3919313.

Almost surely, 2^1642104576 is an apocalyptic number.

1642104576 is a gapful number since it is divisible by the number (16) 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 1642104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815814400).

1642104576 is an abundant number, since it is smaller than the sum of its proper divisors (3989524224).

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

1642104576 is an frugal number, since it uses more digits than its factorization.

1642104576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1642104576 is about 40522.8895317202. The cubic root of 1642104576 is about 1179.7779377209. Note that the first 3 decimals are identical.

The spelling of 1642104576 in words is "one billion, six hundred forty-two million, one hundred four thousand, five hundred seventy-six".