672084514805760 has 5760 divisors, whose sum is σ = 3025321425584640. Its totient is φ = 142764242632704.

The previous prime is 672084514805713. The next prime is 672084514805797. The reversal of 672084514805760 is 67508415480276.

672084514805760 is a `hidden beast` number, since 6 + 7 + 2 + 0 + 8 + 4 + 51 + 4 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9206637189084 + ... + 9206637189156.

It is an arithmetic number, because the mean of its divisors is an integer number (525229414164).

Almost surely, 2^{672084514805760} is an apocalyptic number.

672084514805760 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 672084514805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512660712792320).

672084514805760 is an abundant number, since it is smaller than the sum of its proper divisors (2353236910778880).

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

672084514805760 is an frugal number, since it uses more digits than its factorization.

672084514805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 672084514805760 in words is "six hundred seventy-two trillion, eighty-four billion, five hundred fourteen million, eight hundred five thousand, seven hundred sixty".