64245812567040 has 3520 divisors, whose sum is σ = 280427654707200. Its totient is φ = 13892421943296.

The previous prime is 64245812566981. The next prime is 64245812567047. The reversal of 64245812567040 is 4076521854246.

64245812567040 is a `hidden beast` number, since 6 + 4 + 2 + 4 + 581 + 2 + 56 + 7 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64245812567047) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 137571332887 + ... + 137571333353.

It is an arithmetic number, because the mean of its divisors is an integer number (79666947360).

Almost surely, 2^{64245812567040} is an apocalyptic number.

64245812567040 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 64245812567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140213827353600).

64245812567040 is an abundant number, since it is smaller than the sum of its proper divisors (216181842140160).

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

64245812567040 is a wasteful number, since it uses less digits than its factorization.

64245812567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 64245812567040 in words is "sixty-four trillion, two hundred forty-five billion, eight hundred twelve million, five hundred sixty-seven thousand, forty".