1645006579200 has 840 divisors, whose sum is σ = 6322405161600. Its totient is φ = 423472250880.

The previous prime is 1645006579187. The next prime is 1645006579207. The reversal of 1645006579200 is 29756005461.

1645006579200 is a `hidden beast` number, since 1 + 6 + 4 + 50 + 0 + 6 + 579 + 20 + 0 = 666.

It is a super-2 number, since 2×1645006579200² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645006579207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 270601761 + ... + 270607839.

Almost surely, 2^{1645006579200} is an apocalyptic number.

1645006579200 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 1645006579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161202580800).

1645006579200 is an abundant number, since it is smaller than the sum of its proper divisors (4677398582400).

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

1645006579200 is an frugal number, since it uses more digits than its factorization.

1645006579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6154 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1645006579200 in words is "one trillion, six hundred forty-five billion, six million, five hundred seventy-nine thousand, two hundred".