1642504396800 has 672 divisors, whose sum is σ = 5679076515840. Its totient is φ = 418362163200.

The previous prime is 1642504396783. The next prime is 1642504396829. The reversal of 1642504396800 is 86934052461.

It is a super-3 number, since 3×1642504396800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1642504396800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1580850681 + ... + 1580851719.

It is an arithmetic number, because the mean of its divisors is an integer number (8451006720).

Almost surely, 2^{1642504396800} is an apocalyptic number.

1642504396800 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 1642504396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839538257920).

1642504396800 is an abundant number, since it is smaller than the sum of its proper divisors (4036572119040).

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

1642504396800 is a wasteful number, since it uses less digits than its factorization.

1642504396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1642504396800 in words is "one trillion, six hundred forty-two billion, five hundred four million, three hundred ninety-six thousand, eight hundred".