8154336960 has 1344 divisors, whose sum is σ = 39028055040. Its totient is φ = 1579253760.

The previous prime is 8154336919. The next prime is 8154336961. The reversal of 8154336960 is 696334518.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8154336960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8154336961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79168269 + ... + 79168371.

Almost surely, 2^8154336960 is an apocalyptic number.

8154336960 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 8154336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514027520).

8154336960 is an abundant number, since it is smaller than the sum of its proper divisors (30873718080).

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

8154336960 is a wasteful number, since it uses less digits than its factorization.

8154336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 8154336960 is about 90301.3674315068. The cubic root of 8154336960 is about 2012.7795805660.

The spelling of 8154336960 in words is "eight billion, one hundred fifty-four million, three hundred thirty-six thousand, nine hundred sixty".