618072998400 has 1440 divisors, whose sum is σ = 2752716814848. Its totient is φ = 130115174400.

The previous prime is 618072998399. The next prime is 618072998401. The reversal of 618072998400 is 4899270816.

618072998400 is a `hidden beast` number, since 6 + 1 + 80 + 72 + 9 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (618072998399) and next prime (618072998401).

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (618072998401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 280050097 + ... + 280052303.

Almost surely, 2^618072998400 is an apocalyptic number.

618072998400 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 618072998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376358407424).

618072998400 is an abundant number, since it is smaller than the sum of its proper divisors (2134643816448).

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

618072998400 is a wasteful number, since it uses less digits than its factorization.

618072998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 618072998400 in words is "six hundred eighteen billion, seventy-two million, nine hundred ninety-eight thousand, four hundred".