693084487680 has 1152 divisors, whose sum is σ = 2790375920640. Its totient is φ = 161942077440.

The previous prime is 693084487663. The next prime is 693084487687. The reversal of 693084487680 is 86784480396.

693084487680 is a `hidden beast` number, since 6 + 93 + 0 + 8 + 4 + 487 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×693084487680³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693084487687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5290721215 + ... + 5290721345.

It is an arithmetic number, because the mean of its divisors is an integer number (2422201320).

Almost surely, 2^693084487680 is an apocalyptic number.

693084487680 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 693084487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395187960320).

693084487680 is an abundant number, since it is smaller than the sum of its proper divisors (2097291432960).

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

693084487680 is a wasteful number, since it uses less digits than its factorization.

693084487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 693084487680 in words is "six hundred ninety-three billion, eighty-four million, four hundred eighty-seven thousand, six hundred eighty".