9415206720 has 280 divisors, whose sum is σ = 33607629000. Its totient is φ = 2502033408.

The previous prime is 9415206719. The next prime is 9415206727. The reversal of 9415206720 is 276025149.

It can be written as a sum of positive squares in 4 ways, for example, as 2947186944 + 6468019776 = 54288^2 + 80424^2 .

It is a super-2 number, since 2×9415206720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9415206727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11637676 + ... + 11638484.

Almost surely, 2^9415206720 is an apocalyptic number.

9415206720 is a gapful number since it is divisible by the number (90) 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 9415206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16803814500).

9415206720 is an abundant number, since it is smaller than the sum of its proper divisors (24192422280).

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

9415206720 is a wasteful number, since it uses less digits than its factorization.

9415206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9415206720 is about 97031.9881276273. The cubic root of 9415206720 is about 2111.5917341007.

The spelling of 9415206720 in words is "nine billion, four hundred fifteen million, two hundred six thousand, seven hundred twenty".