49636594800 has 480 divisors, whose sum is σ = 190992984000. Its totient is φ = 12171202560.

The previous prime is 49636594753. The next prime is 49636594817. The reversal of 49636594800 is 849563694.

49636594800 is a `hidden beast` number, since 49 + 6 + 3 + 6 + 594 + 8 + 0 + 0 = 666.

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

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, 48999094 + ... + 49000106.

It is an arithmetic number, because the mean of its divisors is an integer number (397902050).

Almost surely, 2^49636594800 is an apocalyptic number.

49636594800 is a gapful number since it is divisible by the number (40) 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 49636594800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95496492000).

49636594800 is an abundant number, since it is smaller than the sum of its proper divisors (141356389200).

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

49636594800 is a wasteful number, since it uses less digits than its factorization.

49636594800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 49636594800 in words is "forty-nine billion, six hundred thirty-six million, five hundred ninety-four thousand, eight hundred".