6007098240 has 1152 divisors, whose sum is σ = 26811842400. Its totient is φ = 1265172480.

The previous prime is 6007098239. The next prime is 6007098269. The reversal of 6007098240 is 428907006.

6007098240 is a `hidden beast` number, since 600 + 7 + 0 + 9 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6007098240² = 72170458530022195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6007098195 and 6007098204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 353358712 + ... + 353358728.

Almost surely, 2^6007098240 is an apocalyptic number.

6007098240 is a gapful number since it is divisible by the number (60) 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 6007098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405921200).

6007098240 is an abundant number, since it is smaller than the sum of its proper divisors (20804744160).

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

6007098240 is a wasteful number, since it uses less digits than its factorization.

6007098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6007098240 is about 77505.4723229270. The cubic root of 6007098240 is about 1817.8368858873.

The spelling of 6007098240 in words is "six billion, seven million, ninety-eight thousand, two hundred forty".