487437601996800 has 5832 divisors, whose sum is σ = 2343977737651368. Its totient is φ = 99526429900800.

The previous prime is 487437601996781. The next prime is 487437601996897. The reversal of 487437601996800 is 8699106734784.

487437601996800 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 3 + 7 + 601 + 9 + 9 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 15723793612785 + ... + 15723793612815.

Almost surely, 2^{487437601996800} is an apocalyptic number.

487437601996800 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 487437601996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171988868825684).

487437601996800 is an abundant number, since it is smaller than the sum of its proper divisors (1856540135654568).

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

487437601996800 is an frugal number, since it uses more digits than its factorization.

487437601996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 487437601996800 in words is "four hundred eighty-seven trillion, four hundred thirty-seven billion, six hundred one million, nine hundred ninety-six thousand, eight hundred".