4686077214720 has 2400 divisors, whose sum is σ = 20096813721600. Its totient is φ = 1031956070400.

The previous prime is 4686077214697. The next prime is 4686077214803. The reversal of 4686077214720 is 274127706864.

4686077214720 is a `hidden beast` number, since 4 + 6 + 8 + 607 + 7 + 2 + 1 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42991534026 + ... + 42991534134.

It is an arithmetic number, because the mean of its divisors is an integer number (8373672384).

Almost surely, 2^{4686077214720} is an apocalyptic number.

4686077214720 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 4686077214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048406860800).

4686077214720 is an abundant number, since it is smaller than the sum of its proper divisors (15410736506880).

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

4686077214720 is a wasteful number, since it uses less digits than its factorization.

4686077214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 4686077214720 in words is "four trillion, six hundred eighty-six billion, seventy-seven million, two hundred fourteen thousand, seven hundred twenty".