7149945600 has 864 divisors, whose sum is σ = 31387991040. Its totient is φ = 1557135360.

The previous prime is 7149945599. The next prime is 7149945619. The reversal of 7149945600 is 65499417.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×7149945600³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27820672 + ... + 27820928.

Almost surely, 2^7149945600 is an apocalyptic number.

7149945600 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 7149945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15693995520).

7149945600 is an abundant number, since it is smaller than the sum of its proper divisors (24238045440).

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

7149945600 is a wasteful number, since it uses less digits than its factorization.

7149945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7149945600 is about 84557.3509518835. The cubic root of 7149945600 is about 1926.4936380866.

The spelling of 7149945600 in words is "seven billion, one hundred forty-nine million, nine hundred forty-five thousand, six hundred".