49600615680 has 1728 divisors, whose sum is σ = 235704268800. Its totient is φ = 9674588160.

The previous prime is 49600615679. The next prime is 49600615681. The reversal of 49600615680 is 8651600694.

49600615680 is a `hidden beast` number, since 496 + 0 + 0 + 6 + 156 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49600615679) and next prime (49600615681).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49600615681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455051466 + ... + 455051574.

Almost surely, 2^49600615680 is an apocalyptic number.

49600615680 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 49600615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117852134400).

49600615680 is an abundant number, since it is smaller than the sum of its proper divisors (186103653120).

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

49600615680 is a wasteful number, since it uses less digits than its factorization.

49600615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 49600615680 in words is "forty-nine billion, six hundred million, six hundred fifteen thousand, six hundred eighty".