10064404800 has 252 divisors, whose sum is σ = 36177801660. Its totient is φ = 2653347840.

The previous prime is 10064404793. The next prime is 10064404897. The reversal of 10064404800 is 840446001.

10064404800 is a `hidden beast` number, since 10 + 0 + 644 + 0 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3480056064 + 6584348736 = 58992^2 + 81144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1277674 + ... + 1285526.

It is an arithmetic number, because the mean of its divisors is an integer number (143562705).

Almost surely, 2^10064404800 is an apocalyptic number.

10064404800 is a gapful number since it is divisible by the number (10) 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 10064404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18088900830).

10064404800 is an abundant number, since it is smaller than the sum of its proper divisors (26113396860).

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

10064404800 is a wasteful number, since it uses less digits than its factorization.

10064404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7970 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 10064404800 in words is "ten billion, sixty-four million, four hundred four thousand, eight hundred".