673561284480 has 1536 divisors, whose sum is σ = 2980861056000. Its totient is φ = 140317360128.

The previous prime is 673561284479. The next prime is 673561284547. The reversal of 673561284480 is 84482165376.

It is a happy number.

673561284480 is a `hidden beast` number, since 6 + 7 + 35 + 6 + 128 + 4 + 480 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 7568104276 + ... + 7568104364.

It is an arithmetic number, because the mean of its divisors is an integer number (1940664750).

Almost surely, 2^673561284480 is an apocalyptic number.

673561284480 is a gapful number since it is divisible by the number (60) 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 673561284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490430528000).

673561284480 is an abundant number, since it is smaller than the sum of its proper divisors (2307299771520).

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

673561284480 is a wasteful number, since it uses less digits than its factorization.

673561284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 673561284480 in words is "six hundred seventy-three billion, five hundred sixty-one million, two hundred eighty-four thousand, four hundred eighty".