645615432000 has 1344 divisors, whose sum is σ = 2910374558208. Its totient is φ = 132710400000.

The previous prime is 645615431971. The next prime is 645615432031. The reversal of 645615432000 is 234516546.

645615432000 is a `hidden beast` number, since 6 + 4 + 5 + 615 + 4 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 559943424 + ... + 559944576.

Almost surely, 2^645615432000 is an apocalyptic number.

645615432000 is a gapful number since it is divisible by the number (60) 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 645615432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455187279104).

645615432000 is an abundant number, since it is smaller than the sum of its proper divisors (2264759126208).

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

645615432000 is a wasteful number, since it uses less digits than its factorization.

645615432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 645615432000 its reverse (234516546), we get a palindrome (645849948546).

The spelling of 645615432000 in words is "six hundred forty-five billion, six hundred fifteen million, four hundred thirty-two thousand".