45819271680 has 640 divisors, whose sum is σ = 183831234048. Its totient is φ = 9477292032.

The previous prime is 45819271639. The next prime is 45819271697. The reversal of 45819271680 is 8617291854.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37040022 + ... + 37041258.

Almost surely, 2^45819271680 is an apocalyptic number.

45819271680 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 45819271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91915617024).

45819271680 is an abundant number, since it is smaller than the sum of its proper divisors (138011962368).

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

45819271680 is a wasteful number, since it uses less digits than its factorization.

45819271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 45819271680 in words is "forty-five billion, eight hundred nineteen million, two hundred seventy-one thousand, six hundred eighty".