49642368480 has 192 divisors, whose sum is σ = 173853630720. Its totient is φ = 13229941248.

The previous prime is 49642368463. The next prime is 49642368487. The reversal of 49642368480 is 8486324694.

49642368480 is a `hidden beast` number, since 4 + 96 + 42 + 36 + 8 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49642368487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11588419 + ... + 11592701.

It is an arithmetic number, because the mean of its divisors is an integer number (905487660).

Almost surely, 2^49642368480 is an apocalyptic number.

49642368480 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 49642368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86926815360).

49642368480 is an abundant number, since it is smaller than the sum of its proper divisors (124211262240).

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

49642368480 is a wasteful number, since it uses less digits than its factorization.

49642368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 49642368480 in words is "forty-nine billion, six hundred forty-two million, three hundred sixty-eight thousand, four hundred eighty".