9467015400864 has 360 divisors, whose sum is σ = 32594260420260. Its totient is φ = 2687627464704.

The previous prime is 9467015400859. The next prime is 9467015400877. The reversal of 9467015400864 is 4680045107649.

9467015400864 is a `hidden beast` number, since 94 + 6 + 7 + 0 + 1 + 540 + 0 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7713350853264 + 1753664547600 = 2777292^2 + 1324260^2 .

It is a super-2 number, since 2×9467015400864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9467015400864.

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, 19702872 + ... + 20177640.

Almost surely, 2^{9467015400864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9467015400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16297130210130).

9467015400864 is an abundant number, since it is smaller than the sum of its proper divisors (23127245019396).

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

9467015400864 is a wasteful number, since it uses less digits than its factorization.

9467015400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474962 (or 474938 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9467015400864 in words is "nine trillion, four hundred sixty-seven billion, fifteen million, four hundred thousand, eight hundred sixty-four".