49268766240 has 1152 divisors, whose sum is σ = 202012876800. Its totient is φ = 11167580160.

The previous prime is 49268766229. The next prime is 49268766241. The reversal of 49268766240 is 4266786294.

49268766240 is a `hidden beast` number, since 4 + 9 + 2 + 6 + 8 + 7 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×49268766240² (a number of 22 digits) contains 22 as substring.

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 (49268766241) 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 191 ways as a sum of consecutive naturals, for example, 735354687 + ... + 735354753.

It is an arithmetic number, because the mean of its divisors is an integer number (175358400).

Almost surely, 2^49268766240 is an apocalyptic number.

49268766240 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 49268766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101006438400).

49268766240 is an abundant number, since it is smaller than the sum of its proper divisors (152744110560).

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

49268766240 is a wasteful number, since it uses less digits than its factorization.

49268766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 49268766240 in words is "forty-nine billion, two hundred sixty-eight million, seven hundred sixty-six thousand, two hundred forty".