612890534400 has 480 divisors, whose sum is σ = 2103153389568. Its totient is φ = 157167206400.

The previous prime is 612890534371. The next prime is 612890534401. The reversal of 612890534400 is 4435098216.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (612890534401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198795259 + ... + 198798341.

Almost surely, 2^612890534400 is an apocalyptic number.

612890534400 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 612890534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051576694784).

612890534400 is an abundant number, since it is smaller than the sum of its proper divisors (1490262855168).

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

612890534400 is a wasteful number, since it uses less digits than its factorization.

612890534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 612890534400 in words is "six hundred twelve billion, eight hundred ninety million, five hundred thirty-four thousand, four hundred".