64646113500 has 384 divisors, whose sum is σ = 217983467520. Its totient is φ = 16523136000.

The previous prime is 64646113447. The next prime is 64646113591. The reversal of 64646113500 is 531164646.

It is a happy number.

64646113500 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 611 + 35 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47289817 + ... + 47291183.

It is an arithmetic number, because the mean of its divisors is an integer number (567665280).

Almost surely, 2^64646113500 is an apocalyptic number.

64646113500 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 64646113500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108991733760).

64646113500 is an abundant number, since it is smaller than the sum of its proper divisors (153337354020).

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

64646113500 is a wasteful number, since it uses less digits than its factorization.

64646113500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 64646113500 its sum of digits (36), we get a square (64646113536 = 254256²).

The spelling of 64646113500 in words is "sixty-four billion, six hundred forty-six million, one hundred thirteen thousand, five hundred".