49730630400 has 1728 divisors, whose sum is σ = 224460633600. Its totient is φ = 10749542400.

The previous prime is 49730630399. The next prime is 49730630401. The reversal of 49730630400 is 403603794.

49730630400 is a `hidden beast` number, since 49 + 7 + 306 + 304 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49730630399) and next prime (49730630401).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49730630401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2617401591 + ... + 2617401609.

It is an arithmetic number, because the mean of its divisors is an integer number (129896200).

Almost surely, 2^49730630400 is an apocalyptic number.

49730630400 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 49730630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112230316800).

49730630400 is an abundant number, since it is smaller than the sum of its proper divisors (174730003200).

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

49730630400 is a wasteful number, since it uses less digits than its factorization.

49730630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 49730630400 in words is "forty-nine billion, seven hundred thirty million, six hundred thirty thousand, four hundred".