2007672739800 has 768 divisors, whose sum is σ = 8059284172800. Its totient is φ = 402079334400.

The previous prime is 2007672739789. The next prime is 2007672739811. The reversal of 2007672739800 is 89372767002.

It is an interprime number because it is at equal distance from previous prime (2007672739789) and next prime (2007672739811).

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, 82816081 + ... + 82840319.

It is an arithmetic number, because the mean of its divisors is an integer number (10493859600).

Almost surely, 2^{2007672739800} is an apocalyptic number.

2007672739800 is a gapful number since it is divisible by the number (20) 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 2007672739800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029642086400).

2007672739800 is an abundant number, since it is smaller than the sum of its proper divisors (6051611433000).

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

2007672739800 is a wasteful number, since it uses less digits than its factorization.

2007672739800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24356 (or 24347 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

It can be divided in two parts, 2007672 and 739800, that added together give a palindrome (2747472).

The spelling of 2007672739800 in words is "two trillion, seven billion, six hundred seventy-two million, seven hundred thirty-nine thousand, eight hundred".