64730016000 has 1440 divisors, whose sum is σ = 277099831008. Its totient is φ = 14863564800.

The previous prime is 64730015981. The next prime is 64730016083. The reversal of 64730016000 is 61003746.

64730016000 is a `hidden beast` number, since 647 + 3 + 0 + 0 + 16 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 62204350464 + 2525665536 = 249408^2 + 50256^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 572831944 + ... + 572832056.

Almost surely, 2^64730016000 is an apocalyptic number.

64730016000 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 64730016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138549915504).

64730016000 is an abundant number, since it is smaller than the sum of its proper divisors (212369815008).

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

64730016000 is a wasteful number, since it uses less digits than its factorization.

64730016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 64730016000 its reverse (61003746), we get a palindrome (64791019746).

The spelling of 64730016000 in words is "sixty-four billion, seven hundred thirty million, sixteen thousand".