4976764354800 has 720 divisors, whose sum is σ = 21094577217792. Its totient is φ = 1060615987200.

The previous prime is 4976764354739. The next prime is 4976764354801. The reversal of 4976764354800 is 84534676794.

It is a happy number.

4976764354800 is a `hidden beast` number, since 4 + 9 + 7 + 67 + 64 + 35 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976764354801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45784515 + ... + 45893085.

Almost surely, 2^{4976764354800} is an apocalyptic number.

4976764354800 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 4976764354800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10547288608896).

4976764354800 is an abundant number, since it is smaller than the sum of its proper divisors (16117812862992).

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

4976764354800 is a wasteful number, since it uses less digits than its factorization.

4976764354800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108726 (or 108712 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 4976764354800 in words is "four trillion, nine hundred seventy-six billion, seven hundred sixty-four million, three hundred fifty-four thousand, eight hundred".