49232705760 has 576 divisors, whose sum is σ = 205586035200. Its totient is φ = 10477817856.

The previous prime is 49232705737. The next prime is 49232705783. The reversal of 49232705760 is 6750723294.

49232705760 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 2 + 70 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49232705737) and next prime (49232705783).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11297502 + ... + 11301858.

It is an arithmetic number, because the mean of its divisors is an integer number (356920200).

Almost surely, 2^49232705760 is an apocalyptic number.

49232705760 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 49232705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102793017600).

49232705760 is an abundant number, since it is smaller than the sum of its proper divisors (156353329440).

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

49232705760 is a wasteful number, since it uses less digits than its factorization.

49232705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 49232705760 in words is "forty-nine billion, two hundred thirty-two million, seven hundred five thousand, seven hundred sixty".