49710346560 has 336 divisors, whose sum is σ = 200693341056. Its totient is φ = 11055108096.

The previous prime is 49710346559. The next prime is 49710346583. The reversal of 49710346560 is 6564301794.

49710346560 is a `hidden beast` number, since 49 + 7 + 1 + 0 + 3 + 46 + 560 = 666.

49710346560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×49710346560² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 712599 + ... + 779241.

Almost surely, 2^49710346560 is an apocalyptic number.

49710346560 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 49710346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100346670528).

49710346560 is an abundant number, since it is smaller than the sum of its proper divisors (150982994496).

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

49710346560 is a wasteful number, since it uses less digits than its factorization.

49710346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66710 (or 66697 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 49710346560 in words is "forty-nine billion, seven hundred ten million, three hundred forty-six thousand, five hundred sixty".