2736676800 has 672 divisors, whose sum is σ = 11746748160. Its totient is φ = 611020800.

The previous prime is 2736676777. The next prime is 2736676819. The reversal of 2736676800 is 86766372.

2736676800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6177379 + ... + 6177821.

It is an arithmetic number, because the mean of its divisors is an integer number (17480280).

Almost surely, 2^2736676800 is an apocalyptic number.

2736676800 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 2736676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873374080).

2736676800 is an abundant number, since it is smaller than the sum of its proper divisors (9010071360).

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

2736676800 is a wasteful number, since it uses less digits than its factorization.

2736676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2736676800 is about 52313.2564461437. The cubic root of 2736676800 is about 1398.7534482302.

The spelling of 2736676800 in words is "two billion, seven hundred thirty-six million, six hundred seventy-six thousand, eight hundred".