7532007000 has 128 divisors (see below), whose sum is σ = 26857059840. Its totient is φ = 1721596800.

The previous prime is 7532006983. The next prime is 7532007001. The reversal of 7532007000 is 7002357.

It is a super-2 number, since 2×7532007000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7532007001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158334 + ... + 200333.

It is an arithmetic number, because the mean of its divisors is an integer number (209820780).

Almost surely, 2^7532007000 is an apocalyptic number.

7532007000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7532007000 is an abundant number, since it is smaller than the sum of its proper divisors (19325052840).

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

7532007000 is a wasteful number, since it uses less digits than its factorization.

7532007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358698 (or 358684 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 7532007000 is about 86787.1361435553. The cubic root of 7532007000 is about 1960.2143837414.

Adding to 7532007000 its reverse (7002357), we get a palindrome (7539009357).

The spelling of 7532007000 in words is "seven billion, five hundred thirty-two million, seven thousand".