612041536995840 has 640 divisors, whose sum is σ = 2535303355200000. Its totient is φ = 139895203037184.

The previous prime is 612041536995817. The next prime is 612041536995859. The reversal of 612041536995840 is 48599635140216.

612041536995840 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 4 + 1 + 536 + 9 + 9 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10800336 + ... + 36615984.

It is an arithmetic number, because the mean of its divisors is an integer number (3961411492500).

Almost surely, 2^{612041536995840} is an apocalyptic number.

612041536995840 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 612041536995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267651677600000).

612041536995840 is an abundant number, since it is smaller than the sum of its proper divisors (1923261818204160).

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

612041536995840 is an equidigital number, since it uses as much as digits as its factorization.

612041536995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25815702 (or 25815666 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 612041536995840 in words is "six hundred twelve trillion, forty-one billion, five hundred thirty-six million, nine hundred ninety-five thousand, eight hundred forty".