49760149824 has 896 divisors, whose sum is σ = 190546329600. Its totient is φ = 12361973760.

The previous prime is 49760149799. The next prime is 49760149837. The reversal of 49760149824 is 42894106794.

49760149824 is a `hidden beast` number, since 4 + 9 + 7 + 601 + 4 + 9 + 8 + 24 = 666.

49760149824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 456515082 + ... + 456515190.

Almost surely, 2^49760149824 is an apocalyptic number.

49760149824 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 49760149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95273164800).

49760149824 is an abundant number, since it is smaller than the sum of its proper divisors (140786179776).

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

49760149824 is a wasteful number, since it uses less digits than its factorization.

49760149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49760149824 in words is "forty-nine billion, seven hundred sixty million, one hundred forty-nine thousand, eight hundred twenty-four".