49676829586560 has 2048 divisors, whose sum is σ = 209185320960000. Its totient is φ = 11007531417600.

The previous prime is 49676829586547. The next prime is 49676829586567. The reversal of 49676829586560 is 6568592867694.

49676829586560 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 6 + 8 + 29 + 586 + 5 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 49676829586560.

It is not an unprimeable number, because it can be changed into a prime (49676829586567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 64599257856 + ... + 64599258624.

It is an arithmetic number, because the mean of its divisors is an integer number (102141270000).

Almost surely, 2^{49676829586560} is an apocalyptic number.

49676829586560 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 49676829586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104592660480000).

49676829586560 is an abundant number, since it is smaller than the sum of its proper divisors (159508491373440).

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

49676829586560 is a wasteful number, since it uses less digits than its factorization.

49676829586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 9405849600, while the sum is 81.

The spelling of 49676829586560 in words is "forty-nine trillion, six hundred seventy-six billion, eight hundred twenty-nine million, five hundred eighty-six thousand, five hundred sixty".