49008763584 has 840 divisors, whose sum is σ = 172661153280. Its totient is φ = 13699445760.

The previous prime is 49008763519. The next prime is 49008763589. The reversal of 49008763584 is 48536780094.

49008763584 is a `hidden beast` number, since 490 + 0 + 8 + 76 + 3 + 5 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49008763584.

It is not an unprimeable number, because it can be changed into a prime (49008763589) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 620364057 + ... + 620364135.

It is an arithmetic number, because the mean of its divisors is an integer number (205548992).

Almost surely, 2^49008763584 is an apocalyptic number.

49008763584 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 49008763584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86330576640).

49008763584 is an abundant number, since it is smaller than the sum of its proper divisors (123652389696).

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

49008763584 is a wasteful number, since it uses less digits than its factorization.

49008763584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 49008763584 in words is "forty-nine billion, eight million, seven hundred sixty-three thousand, five hundred eighty-four".