49772300760 has 576 divisors, whose sum is σ = 204359500800. Its totient is φ = 10412623872.

The previous prime is 49772300731. The next prime is 49772300797. The reversal of 49772300760 is 6700327794.

It is a happy number.

49772300760 is a `hidden beast` number, since 497 + 72 + 30 + 0 + 7 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29122786 + ... + 29124494.

It is an arithmetic number, because the mean of its divisors is an integer number (354790800).

Almost surely, 2^49772300760 is an apocalyptic number.

49772300760 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 49772300760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102179750400).

49772300760 is an abundant number, since it is smaller than the sum of its proper divisors (154587200040).

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

49772300760 is a wasteful number, since it uses less digits than its factorization.

49772300760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 49772300760 in words is "forty-nine billion, seven hundred seventy-two million, three hundred thousand, seven hundred sixty".