472653306777600 has 6240 divisors, whose sum is σ = 2159244890732160. Its totient is φ = 100902371328000.

The previous prime is 472653306777529. The next prime is 472653306777623. The reversal of 472653306777600 is 6777603356274.

It is a happy number.

472653306777600 is a `hidden beast` number, since 4 + 7 + 26 + 533 + 0 + 6 + 7 + 7 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a super-2 number, since 2×472653306777600² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1427955609435 + ... + 1427955609765.

Almost surely, 2^{472653306777600} is an apocalyptic number.

472653306777600 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 472653306777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079622445366080).

472653306777600 is an abundant number, since it is smaller than the sum of its proper divisors (1686591583954560).

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

472653306777600 is a wasteful number, since it uses less digits than its factorization.

472653306777600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 63.

The spelling of 472653306777600 in words is "four hundred seventy-two trillion, six hundred fifty-three billion, three hundred six million, seven hundred seventy-seven thousand, six hundred".