4064549673600 has 1920 divisors, whose sum is σ = 16845751802880. Its totient is φ = 958301798400.

The previous prime is 4064549673593. The next prime is 4064549673619. The reversal of 4064549673600 is 63769454604.

It is a happy number.

4064549673600 is a `hidden beast` number, since 4 + 0 + 6 + 4 + 549 + 67 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17444419084 + ... + 17444419316.

It is an arithmetic number, because the mean of its divisors is an integer number (8773829064).

Almost surely, 2^{4064549673600} is an apocalyptic number.

4064549673600 is a gapful number since it is divisible by the number (40) 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 4064549673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422875901440).

4064549673600 is an abundant number, since it is smaller than the sum of its proper divisors (12781202129280).

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

4064549673600 is a wasteful number, since it uses less digits than its factorization.

4064549673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 4064549673600 in words is "four trillion, sixty-four billion, five hundred forty-nine million, six hundred seventy-three thousand, six hundred".