2007900620064 has 480 divisors, whose sum is σ = 6332832253440. Its totient is φ = 622702080000.

The previous prime is 2007900620023. The next prime is 2007900620069. The reversal of 2007900620064 is 4600260097002.

It is a happy number.

2007900620064 is a `hidden beast` number, since 20 + 0 + 7 + 9 + 0 + 0 + 620 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×2007900620064³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2007900620069) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 584880492 + ... + 584883924.

It is an arithmetic number, because the mean of its divisors is an integer number (13193400528).

Almost surely, 2^{2007900620064} is an apocalyptic number.

2007900620064 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 2007900620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166416126720).

2007900620064 is an abundant number, since it is smaller than the sum of its proper divisors (4324931633376).

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

2007900620064 is a wasteful number, since it uses less digits than its factorization.

2007900620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2007900620064 in words is "two trillion, seven billion, nine hundred million, six hundred twenty thousand, sixty-four".