7465236480 has 768 divisors, whose sum is σ = 29940019200. Its totient is φ = 1751777280.

The previous prime is 7465236473. The next prime is 7465236487. The reversal of 7465236480 is 846325647.

7465236480 is a `hidden beast` number, since 7 + 46 + 523 + 6 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7465236473) and next prime (7465236487).

It is a tau number, because it is divible by the number of its divisors (768).

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 (7465236487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111421407 + ... + 111421473.

It is an arithmetic number, because the mean of its divisors is an integer number (38984400).

Almost surely, 2^7465236480 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 7465236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970009600).

7465236480 is an abundant number, since it is smaller than the sum of its proper divisors (22474782720).

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

7465236480 is a wasteful number, since it uses less digits than its factorization.

7465236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7465236480 is about 86401.5999851855. The cubic root of 7465236480 is about 1954.4048118071.

The spelling of 7465236480 in words is "seven billion, four hundred sixty-five million, two hundred thirty-six thousand, four hundred eighty".