477764621600 has 216 divisors, whose sum is σ = 1428177184560. Its totient is φ = 155183454720.

The previous prime is 477764621591. The next prime is 477764621623. The reversal of 477764621600 is 6126467774.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424067 + ... + 1065533.

It is an arithmetic number, because the mean of its divisors is an integer number (6611931410).

Almost surely, 2^477764621600 is an apocalyptic number.

477764621600 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 477764621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714088592280).

477764621600 is an abundant number, since it is smaller than the sum of its proper divisors (950412562960).

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

477764621600 is a wasteful number, since it uses less digits than its factorization.

477764621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641520 (or 641500 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 50.

The spelling of 477764621600 in words is "four hundred seventy-seven billion, seven hundred sixty-four million, six hundred twenty-one thousand, six hundred".