2606564966400 has 612 divisors, whose sum is σ = 9684525813872. Its totient is φ = 694977822720.

The previous prime is 2606564966353. The next prime is 2606564966407. The reversal of 2606564966400 is 46694656062.

2606564966400 is a `hidden beast` number, since 2 + 60 + 6 + 56 + 496 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2606564966407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 398127927 + ... + 398134473.

Almost surely, 2^{2606564966400} is an apocalyptic number.

2606564966400 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 2606564966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842262906936).

2606564966400 is an abundant number, since it is smaller than the sum of its proper divisors (7077960847472).

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

2606564966400 is an frugal number, since it uses more digits than its factorization.

2606564966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 2606564966400 in words is "two trillion, six hundred six billion, five hundred sixty-four million, nine hundred sixty-six thousand, four hundred".