9151460640 has 288 divisors, whose sum is σ = 35774234496. Its totient is φ = 2086871040.

The previous prime is 9151460611. The next prime is 9151460653. The reversal of 9151460640 is 460641519.

9151460640 is a `hidden beast` number, since 9 + 1 + 5 + 1 + 4 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 9151460595 and 9151460604.

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, 5976675 + ... + 5978205.

It is an arithmetic number, because the mean of its divisors is an integer number (124216092).

Almost surely, 2^9151460640 is an apocalyptic number.

9151460640 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 9151460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17887117248).

9151460640 is an abundant number, since it is smaller than the sum of its proper divisors (26622773856).

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

9151460640 is a wasteful number, since it uses less digits than its factorization.

9151460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9151460640 is about 95663.2669314612. The cubic root of 9151460640 is about 2091.6875208861.

The spelling of 9151460640 in words is "nine billion, one hundred fifty-one million, four hundred sixty thousand, six hundred forty".