1867467480480 has 576 divisors, whose sum is σ = 7659326158848. Its totient is φ = 420833387520.

The previous prime is 1867467480467. The next prime is 1867467480583. The reversal of 1867467480480 is 840847647681.

1867467480480 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 4 + 6 + 74 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19275039 + ... + 19371681.

It is an arithmetic number, because the mean of its divisors is an integer number (13297441248).

Almost surely, 2^{1867467480480} is an apocalyptic number.

1867467480480 is a gapful number since it is divisible by the number (10) 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 1867467480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829663079424).

1867467480480 is an abundant number, since it is smaller than the sum of its proper divisors (5791858678368).

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

1867467480480 is an equidigital number, since it uses as much as digits as its factorization.

1867467480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96751 (or 96731 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 1867467480480 in words is "one trillion, eight hundred sixty-seven billion, four hundred sixty-seven million, four hundred eighty thousand, four hundred eighty".