49658678784 has 1080 divisors, whose sum is σ = 186442191936. Its totient is φ = 12651724800.

The previous prime is 49658678743. The next prime is 49658678789. The reversal of 49658678784 is 48787685694.

49658678784 is a `hidden beast` number, since 496 + 5 + 8 + 67 + 8 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (650280960) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49658678789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1601892849 + ... + 1601892879.

Almost surely, 2^49658678784 is an apocalyptic number.

49658678784 is a gapful number since it is divisible by the number (44) 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 49658678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93221095968).

49658678784 is an abundant number, since it is smaller than the sum of its proper divisors (136783513152).

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

49658678784 is a wasteful number, since it uses less digits than its factorization.

49658678784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 49658678784 in words is "forty-nine billion, six hundred fifty-eight million, six hundred seventy-eight thousand, seven hundred eighty-four".