7418052000 has 864 divisors, whose sum is σ = 30123684864. Its totient is φ = 1723392000.

The previous prime is 7418051999. The next prime is 7418052001. The reversal of 7418052000 is 2508147.

It is an interprime number because it is at equal distance from previous prime (7418051999) and next prime (7418052001).

It is a hoax number, since the sum of its digits (27) 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 (7418052001) 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 143 ways as a sum of consecutive naturals, for example, 239291985 + ... + 239292015.

It is an arithmetic number, because the mean of its divisors is an integer number (34865376).

Almost surely, 2^7418052000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7418052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061842432).

7418052000 is an abundant number, since it is smaller than the sum of its proper divisors (22705632864).

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

7418052000 is a wasteful number, since it uses less digits than its factorization.

7418052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 7418052000 is about 86128.1138769450. The cubic root of 7418052000 is about 1950.2784612199.

The spelling of 7418052000 in words is "seven billion, four hundred eighteen million, fifty-two thousand".