618451680000 has 1440 divisors, whose sum is σ = 2657371368960. Its totient is φ = 123863040000.

The previous prime is 618451679981. The next prime is 618451680023. The reversal of 618451680000 is 86154816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1071839712 + ... + 1071840288.

It is an arithmetic number, because the mean of its divisors is an integer number (1845396784).

Almost surely, 2^618451680000 is an apocalyptic number.

618451680000 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 618451680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328685684480).

618451680000 is an abundant number, since it is smaller than the sum of its proper divisors (2038919688960).

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

618451680000 is a wasteful number, since it uses less digits than its factorization.

618451680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 618451680000 in words is "six hundred eighteen billion, four hundred fifty-one million, six hundred eighty thousand".