7148812800 has 480 divisors, whose sum is σ = 25646429952. Its totient is φ = 1748500480.

The previous prime is 7148812799. The next prime is 7148812807. The reversal of 7148812800 is 82188417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×7148812800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7148812807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30681484 + ... + 30681716.

Almost surely, 2^7148812800 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 7148812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12823214976).

7148812800 is an abundant number, since it is smaller than the sum of its proper divisors (18497617152).

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

7148812800 is a wasteful number, since it uses less digits than its factorization.

7148812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 7148812800 is about 84550.6522742433. The cubic root of 7148812800 is about 1926.3918915197.

The spelling of 7148812800 in words is "seven billion, one hundred forty-eight million, eight hundred twelve thousand, eight hundred".