49105647360 has 720 divisors, whose sum is σ = 219101363712. Its totient is φ = 10202112000.

The previous prime is 49105647343. The next prime is 49105647377. The reversal of 49105647360 is 6374650194.

49105647360 is a `hidden beast` number, since 4 + 9 + 10 + 564 + 73 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49105647343) and next prime (49105647377).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×49105647360² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7980285 + ... + 7986435.

Almost surely, 2^49105647360 is an apocalyptic number.

49105647360 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 49105647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109550681856).

49105647360 is an abundant number, since it is smaller than the sum of its proper divisors (169995716352).

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

49105647360 is a wasteful number, since it uses less digits than its factorization.

49105647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 49105647360 in words is "forty-nine billion, one hundred five million, six hundred forty-seven thousand, three hundred sixty".