49047724782672 has 320 divisors, whose sum is σ = 166670339082240. Its totient is φ = 12041279078400.

The previous prime is 49047724782649. The next prime is 49047724782713. The reversal of 49047724782672 is 27628742774094.

It is a junction number, because it is equal to n+sod(n) for n = 49047724782597 and 49047724782606.

It is a congruent number.

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, 29600472 + ... + 31213512.

It is an arithmetic number, because the mean of its divisors is an integer number (520844809632).

Almost surely, 2^{49047724782672} is an apocalyptic number.

49047724782672 is a gapful number since it is divisible by the number (42) 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 49047724782672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83335169541120).

49047724782672 is an abundant number, since it is smaller than the sum of its proper divisors (117622614299568).

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

49047724782672 is a wasteful number, since it uses less digits than its factorization.

49047724782672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613522 (or 1613516 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 69.

The spelling of 49047724782672 in words is "forty-nine trillion, forty-seven billion, seven hundred twenty-four million, seven hundred eighty-two thousand, six hundred seventy-two".