7485537360 has 320 divisors, whose sum is σ = 27038269440. Its totient is φ = 1677957120.

The previous prime is 7485537287. The next prime is 7485537373. The reversal of 7485537360 is 637355847.

It is a Cunningham number, because it is equal to 86519²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31320121 + ... + 31320359.

It is an arithmetic number, because the mean of its divisors is an integer number (84494592).

Almost surely, 2^7485537360 is an apocalyptic number.

7485537360 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 7485537360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519134720).

7485537360 is an abundant number, since it is smaller than the sum of its proper divisors (19552732080).

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

7485537360 is a wasteful number, since it uses less digits than its factorization.

7485537360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 7485537360 is about 86518.9999942209. Note that the first 5 decimals coincide. The cubic root of 7485537360 is about 1956.1748038205.

The spelling of 7485537360 in words is "seven billion, four hundred eighty-five million, five hundred thirty-seven thousand, three hundred sixty".