487921674240 has 3072 divisors, whose sum is σ = 2440992153600. Its totient is φ = 89181388800.

The previous prime is 487921674239. The next prime is 487921674271. The reversal of 487921674240 is 42476129784.

487921674240 is a `hidden beast` number, since 487 + 9 + 21 + 67 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11347015659 + ... + 11347015701.

It is an arithmetic number, because the mean of its divisors is an integer number (794593800).

Almost surely, 2^487921674240 is an apocalyptic number.

487921674240 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 487921674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220496076800).

487921674240 is an abundant number, since it is smaller than the sum of its proper divisors (1953070479360).

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

487921674240 is a wasteful number, since it uses less digits than its factorization.

487921674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 487921674240 in words is "four hundred eighty-seven billion, nine hundred twenty-one million, six hundred seventy-four thousand, two hundred forty".