477901620000 has 2400 divisors, whose sum is σ = 2215296978048. Its totient is φ = 98537472000.

The previous prime is 477901619981. The next prime is 477901620011. The reversal of 477901620000 is 26109774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×477901620000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 7132859967 + ... + 7132860033.

Almost surely, 2^477901620000 is an apocalyptic number.

477901620000 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 477901620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107648489024).

477901620000 is an abundant number, since it is smaller than the sum of its proper divisors (1737395358048).

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

477901620000 is a wasteful number, since it uses less digits than its factorization.

477901620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 477901620000 its reverse (26109774), we get a palindrome (477927729774).

It can be divided in two parts, 477901 and 620000, that added together give a palindrome (1097901).

The spelling of 477901620000 in words is "four hundred seventy-seven billion, nine hundred one million, six hundred twenty thousand".