49479655680 has 576 divisors, whose sum is σ = 216117189120. Its totient is φ = 10439000064.

The previous prime is 49479655663. The next prime is 49479655691. The reversal of 49479655680 is 8655697494.

49479655680 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 9 + 65 + 568 + 0 = 666.

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

It is a super-4 number, since 4×49479655680⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3137094 + ... + 3152826.

Almost surely, 2^49479655680 is an apocalyptic number.

49479655680 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 49479655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108058594560).

49479655680 is an abundant number, since it is smaller than the sum of its proper divisors (166637533440).

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

49479655680 is a wasteful number, since it uses less digits than its factorization.

49479655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15783 (or 15763 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 49479655680 in words is "forty-nine billion, four hundred seventy-nine million, six hundred fifty-five thousand, six hundred eighty".