2007505606656 has 1536 divisors, whose sum is σ = 6883688448000. Its totient is φ = 512792985600.

The previous prime is 2007505606651. The next prime is 2007505606669. The reversal of 2007505606656 is 6566065057002.

It is a tau number, because it is divible by the number of its divisors (1536).

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 (2007505606651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42712885225 + ... + 42712885271.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568000).

Almost surely, 2^{2007505606656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007505606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441844224000).

2007505606656 is an abundant number, since it is smaller than the sum of its proper divisors (4876182841344).

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

2007505606656 is a wasteful number, since it uses less digits than its factorization.

2007505606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 2007505606656 in words is "two trillion, seven billion, five hundred five million, six hundred six thousand, six hundred fifty-six".