4586776346880 has 2160 divisors, whose sum is σ = 21139197784320. Its totient is φ = 924675637248.

The previous prime is 4586776346863. The next prime is 4586776346939. The reversal of 4586776346880 is 886436776854.

It is a happy number.

4586776346880 is a `hidden beast` number, since 4 + 5 + 86 + 7 + 7 + 6 + 3 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4586776346799 and 4586776346808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4991051061 + ... + 4991051979.

Almost surely, 2^{4586776346880} is an apocalyptic number.

4586776346880 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 4586776346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569598892160).

4586776346880 is an abundant number, since it is smaller than the sum of its proper divisors (16552421437440).

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

4586776346880 is a wasteful number, since it uses less digits than its factorization.

4586776346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 4586776346880 in words is "four trillion, five hundred eighty-six billion, seven hundred seventy-six million, three hundred forty-six thousand, eight hundred eighty".