2007629040576 has 56 divisors (see below), whose sum is σ = 5312784847104. Its totient is φ = 669092135680.

The previous prime is 2007629040569. The next prime is 2007629040577. The reversal of 2007629040576 is 6750409267002.

It is a super-2 number, since 2×2007629040576² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007629040577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181051 + ... + 2011973.

It is an arithmetic number, because the mean of its divisors is an integer number (94871157984).

Almost surely, 2^{2007629040576} is an apocalyptic number.

It is an amenable number.

2007629040576 is an abundant number, since it is smaller than the sum of its proper divisors (3305155806528).

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

2007629040576 is a wasteful number, since it uses less digits than its factorization.

2007629040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836649 (or 1836639 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2007629040576 in words is "two trillion, seven billion, six hundred twenty-nine million, forty thousand, five hundred seventy-six".