64842301440 has 680 divisors, whose sum is σ = 266441128800. Its totient is φ = 14778630144.

The previous prime is 64842301429. The next prime is 64842301451. The reversal of 64842301440 is 4410324846.

64842301440 is a `hidden beast` number, since 6 + 484 + 2 + 30 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64842301429) and next prime (64842301451).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 64842301395 and 64842301404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185794386 + ... + 185794734.

Almost surely, 2^64842301440 is an apocalyptic number.

64842301440 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 64842301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133220564400).

64842301440 is an abundant number, since it is smaller than the sum of its proper divisors (201598827360).

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

64842301440 is an frugal number, since it uses more digits than its factorization.

64842301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 64842301440 in words is "sixty-four billion, eight hundred forty-two million, three hundred one thousand, four hundred forty".