7164714480 has 480 divisors, whose sum is σ = 28741160448. Its totient is φ = 1434316800.

The previous prime is 7164714461. The next prime is 7164714497. The reversal of 7164714480 is 844174617.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15541450 + ... + 15541910.

Almost surely, 2^7164714480 is an apocalyptic number.

7164714480 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 7164714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14370580224).

7164714480 is an abundant number, since it is smaller than the sum of its proper divisors (21576445968).

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

7164714480 is a wasteful number, since it uses less digits than its factorization.

7164714480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7164714480 is about 84644.6364514610. The cubic root of 7164714480 is about 1927.8191766389.

The spelling of 7164714480 in words is "seven billion, one hundred sixty-four million, seven hundred fourteen thousand, four hundred eighty".