49974312960 has 1024 divisors, whose sum is σ = 211389696000. Its totient is φ = 11041505280.

The previous prime is 49974312923. The next prime is 49974312967. The reversal of 49974312960 is 6921347994.

49974312960 is a `hidden beast` number, since 49 + 97 + 431 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 49974312897 and 49974312906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49974312967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632586201 + ... + 632586279.

It is an arithmetic number, because the mean of its divisors is an integer number (206435250).

Almost surely, 2^49974312960 is an apocalyptic number.

49974312960 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 49974312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105694848000).

49974312960 is an abundant number, since it is smaller than the sum of its proper divisors (161415383040).

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

49974312960 is a wasteful number, since it uses less digits than its factorization.

49974312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 49974312960 in words is "forty-nine billion, nine hundred seventy-four million, three hundred twelve thousand, nine hundred sixty".