612679680 has 240 divisors, whose sum is σ = 2186214240. Its totient is φ = 162791424.

The previous prime is 612679679. The next prime is 612679693. The reversal of 612679680 is 86976216.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×612679680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211702 + ... + 2211978.

It is an arithmetic number, because the mean of its divisors is an integer number (9109226).

Almost surely, 2^612679680 is an apocalyptic number.

612679680 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 612679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093107120).

612679680 is an abundant number, since it is smaller than the sum of its proper divisors (1573534560).

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

612679680 is an equidigital number, since it uses as much as digits as its factorization.

612679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 612679680 is about 24752.3671595264. The cubic root of 612679680 is about 849.3326619054.

The spelling of 612679680 in words is "six hundred twelve million, six hundred seventy-nine thousand, six hundred eighty".