8407152000 has 640 divisors, whose sum is σ = 33693660000. Its totient is φ = 2065305600.

The previous prime is 8407151983. The next prime is 8407152031. The reversal of 8407152000 is 2517048.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×8407152000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16847751 + ... + 16848249.

Almost surely, 2^8407152000 is an apocalyptic number.

8407152000 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 8407152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16846830000).

8407152000 is an abundant number, since it is smaller than the sum of its proper divisors (25286508000).

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

8407152000 is a wasteful number, since it uses less digits than its factorization.

8407152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 8407152000 is about 91690.5229563012. The cubic root of 8407152000 is about 2033.3694759021.

Adding to 8407152000 its reverse (2517048), we get a palindrome (8409669048).

The spelling of 8407152000 in words is "eight billion, four hundred seven million, one hundred fifty-two thousand".