487670077440 has 2160 divisors, whose sum is σ = 2232795605040. Its totient is φ = 101443829760.

The previous prime is 487670077429. The next prime is 487670077459. The reversal of 487670077440 is 44770076784.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6868592605 + ... + 6868592675.

It is an arithmetic number, because the mean of its divisors is an integer number (1033701669).

Almost surely, 2^487670077440 is an apocalyptic number.

487670077440 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 487670077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116397802520).

487670077440 is an abundant number, since it is smaller than the sum of its proper divisors (1745125527600).

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

487670077440 is a wasteful number, since it uses less digits than its factorization.

487670077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 487670077440 in words is "four hundred eighty-seven billion, six hundred seventy million, seventy-seven thousand, four hundred forty".