7465080000 has 280 divisors, whose sum is σ = 28210369792. Its totient is φ = 1706112000.

The previous prime is 7465079989. The next prime is 7465080011. The reversal of 7465080000 is 805647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7465079989) and next prime (7465080011).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7465080000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 835557 + ... + 844443.

Almost surely, 2^7465080000 is an apocalyptic number.

7465080000 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 7465080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105184896).

7465080000 is an abundant number, since it is smaller than the sum of its proper divisors (20745289792).

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

7465080000 is an equidigital number, since it uses as much as digits as its factorization.

7465080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7465080000 is about 86400.6944416537. The cubic root of 7465080000 is about 1954.3911561824.

Adding to 7465080000 its reverse (805647), we get a palindrome (7465885647).

The spelling of 7465080000 in words is "seven billion, four hundred sixty-five million, eighty thousand".