4763867774400 has 840 divisors, whose sum is σ = 20351740083840. Its totient is φ = 1070416373760.

The previous prime is 4763867774387. The next prime is 4763867774453. The reversal of 4763867774400 is 44777683674.

4763867774400 is a `hidden beast` number, since 4 + 7 + 63 + 8 + 67 + 77 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53480299 + ... + 53569301.

Almost surely, 2^{4763867774400} is an apocalyptic number.

4763867774400 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 4763867774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175870041920).

4763867774400 is an abundant number, since it is smaller than the sum of its proper divisors (15587872309440).

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

4763867774400 is a wasteful number, since it uses less digits than its factorization.

4763867774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89103 (or 89079 counting only the distinct ones).

The product of its (nonzero) digits is 132765696, while the sum is 63.

The spelling of 4763867774400 in words is "four trillion, seven hundred sixty-three billion, eight hundred sixty-seven million, seven hundred seventy-four thousand, four hundred".