7469340480 has 420 divisors, whose sum is σ = 30912933348. Its totient is φ = 1706987520.

The previous prime is 7469340467. The next prime is 7469340493. The reversal of 7469340480 is 840439647.

7469340480 is a `hidden beast` number, since 7 + 46 + 93 + 40 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (7469340467) and next prime (7469340493).

It can be written as a sum of positive squares in 2 ways, for example, as 4561111296 + 2908229184 = 67536^2 + 53928^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 1267140 + ... + 1273020.

Almost surely, 2^7469340480 is an apocalyptic number.

7469340480 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 7469340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456466674).

7469340480 is an abundant number, since it is smaller than the sum of its proper divisors (23443592868).

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

7469340480 is a wasteful number, since it uses less digits than its factorization.

7469340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5924 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7469340480 is about 86425.3462822105. The cubic root of 7469340480 is about 1954.7628896789.

The spelling of 7469340480 in words is "seven billion, four hundred sixty-nine million, three hundred forty thousand, four hundred eighty".