49001863680 has 1680 divisors, whose sum is σ = 228422380032. Its totient is φ = 9853747200.

The previous prime is 49001863663. The next prime is 49001863693. The reversal of 49001863680 is 8636810094.

49001863680 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 1 + 8 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×49001863680² (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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1580705265 + ... + 1580705295.

Almost surely, 2^49001863680 is an apocalyptic number.

49001863680 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 49001863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114211190016).

49001863680 is an abundant number, since it is smaller than the sum of its proper divisors (179420516352).

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

49001863680 is an equidigital number, since it uses as much as digits as its factorization.

49001863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 49001863680 in words is "forty-nine billion, one million, eight hundred sixty-three thousand, six hundred eighty".