645036480 has 336 divisors, whose sum is σ = 2505273120. Its totient is φ = 156119040.

The previous prime is 645036467. The next prime is 645036487. The reversal of 645036480 is 84630546.

645036480 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 3 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645036487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045132 + ... + 1045748.

It is an arithmetic number, because the mean of its divisors is an integer number (7456170).

Almost surely, 2^645036480 is an apocalyptic number.

645036480 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 645036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252636560).

645036480 is an abundant number, since it is smaller than the sum of its proper divisors (1860236640).

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

645036480 is a wasteful number, since it uses less digits than its factorization.

645036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 645036480 is about 25397.5683875445. The cubic root of 645036480 is about 864.0285484394.

The spelling of 645036480 in words is "six hundred forty-five million, thirty-six thousand, four hundred eighty".