4748676710400 has 2700 divisors, whose sum is σ = 21521860512768. Its totient is φ = 1030045040640.

The previous prime is 4748676710389. The next prime is 4748676710411. The reversal of 4748676710400 is 40176768474.

4748676710400 is a `hidden beast` number, since 47 + 486 + 76 + 7 + 10 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4748676710389) and next prime (4748676710411).

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 37391155137 + ... + 37391155263.

Almost surely, 2^{4748676710400} is an apocalyptic number.

4748676710400 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 4748676710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760930256384).

4748676710400 is an abundant number, since it is smaller than the sum of its proper divisors (16773183802368).

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

4748676710400 is a wasteful number, since it uses less digits than its factorization.

4748676710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 167 counting only the distinct ones).

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

The spelling of 4748676710400 in words is "four trillion, seven hundred forty-eight billion, six hundred seventy-six million, seven hundred ten thousand, four hundred".