45878676480 has 1056 divisors, whose sum is σ = 204645631680. Its totient is φ = 9661317120.

The previous prime is 45878676479. The next prime is 45878676497. The reversal of 45878676480 is 8467687854.

45878676480 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 86 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 88058620 + ... + 88059140.

Almost surely, 2^45878676480 is an apocalyptic number.

45878676480 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 45878676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102322815840).

45878676480 is an abundant number, since it is smaller than the sum of its proper divisors (158766955200).

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

45878676480 is a wasteful number, since it uses less digits than its factorization.

45878676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 45878676480 in words is "forty-five billion, eight hundred seventy-eight million, six hundred seventy-six thousand, four hundred eighty".