64870041600 has 1944 divisors, whose sum is σ = 309854211030. Its totient is φ = 12881756160.

The previous prime is 64870041571. The next prime is 64870041619. The reversal of 64870041600 is 614007846.

64870041600 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 0 + 0 + 41 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 4064256 + 64865977344 = 2016^2 + 254688^2 .

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 (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3815884792 + ... + 3815884808.

Almost surely, 2^64870041600 is an apocalyptic number.

64870041600 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 64870041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154927105515).

64870041600 is an abundant number, since it is smaller than the sum of its proper divisors (244984169430).

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

64870041600 is a wasteful number, since it uses less digits than its factorization.

64870041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 64870041600 in words is "sixty-four billion, eight hundred seventy million, forty-one thousand, six hundred".