64501597440 has 864 divisors, whose sum is σ = 269988526080. Its totient is φ = 13899055104.

The previous prime is 64501597439. The next prime is 64501597441. The reversal of 64501597440 is 4479510546.

64501597440 is a `hidden beast` number, since 6 + 4 + 50 + 1 + 597 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64501597439) and next prime (64501597441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64501597441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153941551 + ... + 153941969.

It is an arithmetic number, because the mean of its divisors is an integer number (312486720).

Almost surely, 2^64501597440 is an apocalyptic number.

64501597440 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 64501597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134994263040).

64501597440 is an abundant number, since it is smaller than the sum of its proper divisors (205486928640).

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

64501597440 is a wasteful number, since it uses less digits than its factorization.

64501597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 64501597440 in words is "sixty-four billion, five hundred one million, five hundred ninety-seven thousand, four hundred forty".