7525985040 has 240 divisors, whose sum is σ = 28940635776. Its totient is φ = 1716940800.

The previous prime is 7525984993. The next prime is 7525985057. The reversal of 7525985040 is 405895257.

7525985040 is a `hidden beast` number, since 7 + 5 + 2 + 598 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3481560 + ... + 3483720.

Almost surely, 2^7525985040 is an apocalyptic number.

7525985040 is a gapful number since it is divisible by the number (70) 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 7525985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470317888).

7525985040 is an abundant number, since it is smaller than the sum of its proper divisors (21414650736).

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

7525985040 is a wasteful number, since it uses less digits than its factorization.

7525985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 7525985040 is about 86752.4353548648. The cubic root of 7525985040 is about 1959.6918368768.

The spelling of 7525985040 in words is "seven billion, five hundred twenty-five million, nine hundred eighty-five thousand, forty".