7485246720 has 288 divisors, whose sum is σ = 30357815040. Its totient is φ = 1710858240.

The previous prime is 7485246709. The next prime is 7485246737. The reversal of 7485246720 is 276425847.

It is a happy number.

7485246720 is a `hidden beast` number, since 7 + 48 + 524 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226450 + ... + 257390.

It is an arithmetic number, because the mean of its divisors is an integer number (105409080).

Almost surely, 2^7485246720 is an apocalyptic number.

7485246720 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 7485246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178907520).

7485246720 is an abundant number, since it is smaller than the sum of its proper divisors (22872568320).

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

7485246720 is a wasteful number, since it uses less digits than its factorization.

7485246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30978 (or 30958 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7485246720 is about 86517.3203468531. The cubic root of 7485246720 is about 1956.1494861100.

The spelling of 7485246720 in words is "seven billion, four hundred eighty-five million, two hundred forty-six thousand, seven hundred twenty".