49966479360 has 576 divisors, whose sum is σ = 200814344640. Its totient is φ = 11253841920.

The previous prime is 49966479341. The next prime is 49966479371. The reversal of 49966479360 is 6397466994.

49966479360 is a `hidden beast` number, since 49 + 9 + 66 + 479 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47093230 + ... + 47094290.

It is an arithmetic number, because the mean of its divisors is an integer number (348636015).

Almost surely, 2^49966479360 is an apocalyptic number.

49966479360 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 49966479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100407172320).

49966479360 is an abundant number, since it is smaller than the sum of its proper divisors (150847865280).

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

49966479360 is a wasteful number, since it uses less digits than its factorization.

49966479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 49966479360 in words is "forty-nine billion, nine hundred sixty-six million, four hundred seventy-nine thousand, three hundred sixty".