7485139200 has 864 divisors, whose sum is σ = 31679972352. Its totient is φ = 1511424000.

The previous prime is 7485139199. The next prime is 7485139217. The reversal of 7485139200 is 29315847.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 90182359 + ... + 90182441.

Almost surely, 2^7485139200 is an apocalyptic number.

7485139200 is a gapful number since it is divisible by the number (70) 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 7485139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839986176).

7485139200 is an abundant number, since it is smaller than the sum of its proper divisors (24194833152).

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

7485139200 is a wasteful number, since it uses less digits than its factorization.

7485139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 7485139200 is about 86516.6989661533. The cubic root of 7485139200 is about 1956.1401198545.

The spelling of 7485139200 in words is "seven billion, four hundred eighty-five million, one hundred thirty-nine thousand, two hundred".