64677681600 has 336 divisors, whose sum is σ = 244156992000. Its totient is φ = 14683115520.

The previous prime is 64677681571. The next prime is 64677681611. The reversal of 64677681600 is 618677646.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999941 + ... + 5012859.

Almost surely, 2^64677681600 is an apocalyptic number.

64677681600 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 64677681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122078496000).

64677681600 is an abundant number, since it is smaller than the sum of its proper divisors (179479310400).

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

64677681600 is a wasteful number, since it uses less digits than its factorization.

64677681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 64677681600 in words is "sixty-four billion, six hundred seventy-seven million, six hundred eighty-one thousand, six hundred".