487526307840 has 2304 divisors, whose sum is σ = 2195968320000. Its totient is φ = 101603082240.

The previous prime is 487526307809. The next prime is 487526307841. The reversal of 487526307840 is 48703625784.

487526307840 is a `hidden beast` number, since 4 + 8 + 7 + 526 + 3 + 0 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×487526307840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487526307841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8263157731 + ... + 8263157789.

It is an arithmetic number, because the mean of its divisors is an integer number (953111250).

Almost surely, 2^487526307840 is an apocalyptic number.

487526307840 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 487526307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097984160000).

487526307840 is an abundant number, since it is smaller than the sum of its proper divisors (1708442012160).

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

487526307840 is a wasteful number, since it uses less digits than its factorization.

487526307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 487526307840 in words is "four hundred eighty-seven billion, five hundred twenty-six million, three hundred seven thousand, eight hundred forty".