64094146560 has 572 divisors, whose sum is σ = 235062467532. Its totient is φ = 16769286144.

The previous prime is 64094146559. The next prime is 64094146583. The reversal of 64094146560 is 6564149046.

It is a happy number.

64094146560 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 41 + 46 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34828517376 + 29265629184 = 186624^2 + 171072^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1209323494 + ... + 1209323546.

Almost surely, 2^64094146560 is an apocalyptic number.

64094146560 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 64094146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117531233766).

64094146560 is an abundant number, since it is smaller than the sum of its proper divisors (170968320972).

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

64094146560 is an frugal number, since it uses more digits than its factorization.

64094146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 64094146560 in words is "sixty-four billion, ninety-four million, one hundred forty-six thousand, five hundred sixty".