8064201600 has 1152 divisors, whose sum is σ = 37705711680. Its totient is φ = 1592524800.

The previous prime is 8064201589. The next prime is 8064201611. The reversal of 8064201600 is 61024608.

8064201600 is a `hidden beast` number, since 8 + 0 + 642 + 0 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8064201589) and next prime (8064201611).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44553510 + ... + 44553690.

Almost surely, 2^8064201600 is an apocalyptic number.

8064201600 is a gapful number since it is divisible by the number (80) 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 8064201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852855840).

8064201600 is an abundant number, since it is smaller than the sum of its proper divisors (29641510080).

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

8064201600 is a wasteful number, since it uses less digits than its factorization.

8064201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8064201600 is about 89800.8997727751. The cubic root of 8064201600 is about 2005.3358848397.

It can be divided in two parts, 8064 and 201600, that multiplied together give a square (1625702400 = 40320²).

The spelling of 8064201600 in words is "eight billion, sixty-four million, two hundred one thousand, six hundred".