4726401878016 has 1536 divisors, whose sum is σ = 18217180800000. Its totient is φ = 1201719214080.

The previous prime is 4726401877999. The next prime is 4726401878017. The reversal of 4726401878016 is 6108781046274.

4726401878016 is a `hidden beast` number, since 4 + 72 + 6 + 401 + 87 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (4726401878017) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7150380726 + ... + 7150381386.

It is an arithmetic number, because the mean of its divisors is an integer number (11860143750).

Almost surely, 2^{4726401878016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4726401878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9108590400000).

4726401878016 is an abundant number, since it is smaller than the sum of its proper divisors (13490778921984).

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

4726401878016 is a wasteful number, since it uses less digits than its factorization.

4726401878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 4726401878016 in words is "four trillion, seven hundred twenty-six billion, four hundred one million, eight hundred seventy-eight thousand, sixteen".