645435162624 has 544 divisors, whose sum is σ = 2129012467200. Its totient is φ = 173254115328.

The previous prime is 645435162583. The next prime is 645435162629. The reversal of 645435162624 is 426261534546.

It is a tau number, because it is divible by the number of its divisors (544).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645435162629) 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, 1146420967 + ... + 1146421529.

Almost surely, 2^645435162624 is an apocalyptic number.

645435162624 is a gapful number since it is divisible by the number (64) 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 645435162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064506233600).

645435162624 is an abundant number, since it is smaller than the sum of its proper divisors (1483577304576).

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

645435162624 is an frugal number, since it uses more digits than its factorization.

645435162624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 592 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 645435162624 in words is "six hundred forty-five billion, four hundred thirty-five million, one hundred sixty-two thousand, six hundred twenty-four".