64348618752000 has 3360 divisors, whose sum is σ = 285017920387200. Its totient is φ = 14269022208000.

The previous prime is 64348618751951. The next prime is 64348618752001. The reversal of 64348618752000 is 25781684346.

It is a happy number.

64348618752000 is a `hidden beast` number, since 6 + 4 + 34 + 8 + 6 + 1 + 87 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64348618752001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2218917887986 + ... + 2218917888014.

It is an arithmetic number, because the mean of its divisors is an integer number (84826762020).

Almost surely, 2^{64348618752000} is an apocalyptic number.

64348618752000 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 64348618752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142508960193600).

64348618752000 is an abundant number, since it is smaller than the sum of its proper divisors (220669301635200).

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

64348618752000 is an frugal number, since it uses more digits than its factorization.

64348618752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 64348618752000 in words is "sixty-four trillion, three hundred forty-eight billion, six hundred eighteen million, seven hundred fifty-two thousand".