612481680 has 240 divisors, whose sum is σ = 2141458176. Its totient is φ = 156764160.

The previous prime is 612481679. The next prime is 612481687. The reversal of 612481680 is 86184216.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (612481687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2259945 + ... + 2260215.

Almost surely, 2^612481680 is an apocalyptic number.

612481680 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 612481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070729088).

612481680 is an abundant number, since it is smaller than the sum of its proper divisors (1528976496).

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

612481680 is a wasteful number, since it uses less digits than its factorization.

612481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 612481680 is about 24748.3672188692. The cubic root of 612481680 is about 849.2411589599.

The spelling of 612481680 in words is "six hundred twelve million, four hundred eighty-one thousand, six hundred eighty".