7270988400 has 1080 divisors, whose sum is σ = 31275475920. Its totient is φ = 1552711680.

The previous prime is 7270988359. The next prime is 7270988401. The reversal of 7270988400 is 48890727.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7270988401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 196513182 + ... + 196513218.

It is an arithmetic number, because the mean of its divisors is an integer number (28958774).

Almost surely, 2^7270988400 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 7270988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637737960).

7270988400 is an abundant number, since it is smaller than the sum of its proper divisors (24004487520).

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

7270988400 is a wasteful number, since it uses less digits than its factorization.

7270988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7270988400 is about 85270.0908877198. The cubic root of 7270988400 is about 1937.3041877726.

The spelling of 7270988400 in words is "seven billion, two hundred seventy million, nine hundred eighty-eight thousand, four hundred".