7462990080 has 1080 divisors, whose sum is σ = 33749338392. Its totient is φ = 1560674304.

The previous prime is 7462990061. The next prime is 7462990099. The reversal of 7462990080 is 800992647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7462990061) and next prime (7462990099).

It can be written as a sum of positive squares in 4 ways, for example, as 293642496 + 7169347584 = 17136^2 + 84672^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66044104 + ... + 66044216.

Almost surely, 2^7462990080 is an apocalyptic number.

7462990080 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 7462990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874669196).

7462990080 is an abundant number, since it is smaller than the sum of its proper divisors (26286348312).

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

7462990080 is a wasteful number, since it uses less digits than its factorization.

7462990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7462990080 is about 86388.5992478174. The cubic root of 7462990080 is about 1954.2087557084.

The spelling of 7462990080 in words is "seven billion, four hundred sixty-two million, nine hundred ninety thousand, eighty".