8434157760 has 672 divisors, whose sum is σ = 35414346240. Its totient is φ = 1799553024.

The previous prime is 8434157749. The next prime is 8434157777. The reversal of 8434157760 is 677514348.

8434157760 is a `hidden beast` number, since 8 + 434 + 157 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×8434157760² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37154767 + ... + 37154993.

It is an arithmetic number, because the mean of its divisors is an integer number (52699920).

Almost surely, 2^8434157760 is an apocalyptic number.

8434157760 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 8434157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707173120).

8434157760 is an abundant number, since it is smaller than the sum of its proper divisors (26980188480).

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

8434157760 is a wasteful number, since it uses less digits than its factorization.

8434157760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8434157760 is about 91837.6707021688. The cubic root of 8434157760 is about 2035.5443699784.

The spelling of 8434157760 in words is "eight billion, four hundred thirty-four million, one hundred fifty-seven thousand, seven hundred sixty".