7201384960 has 480 divisors, whose sum is σ = 23275885248. Its totient is φ = 2105671680.

The previous prime is 7201384937. The next prime is 7201384987. The reversal of 7201384960 is 694831027.

7201384960 = T₁₇₁₂₀ + T₁₇₁₂₁ + ... + T₁₇₁₆₈.

It is a super-2 number, since 2×7201384960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23457127 + ... + 23457433.

Almost surely, 2^7201384960 is an apocalyptic number.

7201384960 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 7201384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11637942624).

7201384960 is an abundant number, since it is smaller than the sum of its proper divisors (16074500288).

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

7201384960 is a wasteful number, since it uses less digits than its factorization.

7201384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 7201384960 is about 84860.9743050361. The cubic root of 7201384960 is about 1931.1025727715.

The spelling of 7201384960 in words is "seven billion, two hundred one million, three hundred eighty-four thousand, nine hundred sixty".