1645393432320 has 1296 divisors, whose sum is σ = 6660520513920. Its totient is φ = 371834880000.

The previous prime is 1645393432301. The next prime is 1645393432369. The reversal of 1645393432320 is 232343935461.

It is a happy number.

1645393432320 is a `hidden beast` number, since 1 + 6 + 45 + 39 + 343 + 232 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6555352195 + ... + 6555352445.

It is an arithmetic number, because the mean of its divisors is an integer number (5139290520).

Almost surely, 2^{1645393432320} is an apocalyptic number.

1645393432320 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 1645393432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330260256960).

1645393432320 is an abundant number, since it is smaller than the sum of its proper divisors (5015127081600).

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

1645393432320 is a wasteful number, since it uses less digits than its factorization.

1645393432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 1645393432320 in words is "one trillion, six hundred forty-five billion, three hundred ninety-three million, four hundred thirty-two thousand, three hundred twenty".