612201956940 has 576 divisors, whose sum is σ = 2284549263360. Its totient is φ = 129522032640.

The previous prime is 612201956893. The next prime is 612201956999. The reversal of 612201956940 is 49659102216.

612201956940 is a `hidden beast` number, since 6 + 12 + 20 + 19 + 569 + 40 = 666.

It is a super-2 number, since 2×612201956940² (a number of 24 digits) contains 22 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 191 ways as a sum of consecutive naturals, for example, 560111034 + ... + 560112126.

It is an arithmetic number, because the mean of its divisors is an integer number (3966231360).

Almost surely, 2^612201956940 is an apocalyptic number.

612201956940 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 612201956940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142274631680).

612201956940 is an abundant number, since it is smaller than the sum of its proper divisors (1672347306420).

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

612201956940 is a wasteful number, since it uses less digits than its factorization.

612201956940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 612201956940 in words is "six hundred twelve billion, two hundred one million, nine hundred fifty-six thousand, nine hundred forty".