64345357440 has 1728 divisors, whose sum is σ = 298760529600. Its totient is φ = 12680478720.

The previous prime is 64345357429. The next prime is 64345357463. The reversal of 64345357440 is 4475354346.

64345357440 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 535 + 74 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 906272605 + ... + 906272675.

It is an arithmetic number, because the mean of its divisors is an integer number (172893825).

Almost surely, 2^64345357440 is an apocalyptic number.

64345357440 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 64345357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149380264800).

64345357440 is an abundant number, since it is smaller than the sum of its proper divisors (234415172160).

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

64345357440 is a wasteful number, since it uses less digits than its factorization.

64345357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 64345357440 in words is "sixty-four billion, three hundred forty-five million, three hundred fifty-seven thousand, four hundred forty".