2007800378064 has 960 divisors, whose sum is σ = 6745593254400. Its totient is φ = 551809843200.

The previous prime is 2007800378039. The next prime is 2007800378203. The reversal of 2007800378064 is 4608730087002.

It is a happy number.

2007800378064 is a `hidden beast` number, since 200 + 78 + 0 + 0 + 378 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10089449037 + ... + 10089449235.

It is an arithmetic number, because the mean of its divisors is an integer number (7026659640).

Almost surely, 2^{2007800378064} is an apocalyptic number.

2007800378064 is a gapful number since it is divisible by the number (24) 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 2007800378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372796627200).

2007800378064 is an abundant number, since it is smaller than the sum of its proper divisors (4737792876336).

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

2007800378064 is a wasteful number, since it uses less digits than its factorization.

2007800378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2007800378064 in words is "two trillion, seven billion, eight hundred million, three hundred seventy-eight thousand, sixty-four".