8732947415040 has 1536 divisors, whose sum is σ = 34084606701600. Its totient is φ = 2057557770240.

The previous prime is 8732947415029. The next prime is 8732947415051. The reversal of 8732947415040 is 405147492378.

8732947415040 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 94 + 7 + 41 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8732947415029) and next prime (8732947415051).

It can be written as a sum of positive squares in 16 ways, for example, as 1828077060096 + 6904870354944 = 1352064^2 + 2627712^2 .

It is a tau number, because it is divible by the number of its divisors (1536).

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, 29805281134 + ... + 29805281426.

Almost surely, 2^{8732947415040} is an apocalyptic number.

8732947415040 is a gapful number since it is divisible by the number (80) 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 8732947415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042303350800).

8732947415040 is an abundant number, since it is smaller than the sum of its proper divisors (25351659286560).

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

8732947415040 is a wasteful number, since it uses less digits than its factorization.

8732947415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 8732947415040 in words is "eight trillion, seven hundred thirty-two billion, nine hundred forty-seven million, four hundred fifteen thousand, forty".