4765677463008 has 384 divisors, whose sum is σ = 18241832448000. Its totient is φ = 1172688606720.

The previous prime is 4765677462979. The next prime is 4765677463031. The reversal of 4765677463008 is 8003647765674.

4765677463008 is a `hidden beast` number, since 4 + 7 + 6 + 567 + 7 + 4 + 63 + 0 + 0 + 8 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 621078 + ... + 3149141.

It is an arithmetic number, because the mean of its divisors is an integer number (47504772000).

Almost surely, 2^{4765677463008} is an apocalyptic number.

4765677463008 is a gapful number since it is divisible by the number (48) 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 4765677463008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120916224000).

4765677463008 is an abundant number, since it is smaller than the sum of its proper divisors (13476154984992).

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

4765677463008 is a wasteful number, since it uses less digits than its factorization.

4765677463008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770275 (or 3770261 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 4765677463008 in words is "four trillion, seven hundred sixty-five billion, six hundred seventy-seven million, four hundred sixty-three thousand, eight".