7025840640 has 640 divisors, whose sum is σ = 30743032320. Its totient is φ = 1481048064.

The previous prime is 7025840639. The next prime is 7025840663. The reversal of 7025840640 is 460485207.

7025840640 is a `hidden beast` number, since 7 + 0 + 2 + 5 + 8 + 4 + 0 + 640 = 666.

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

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 = 7025840595 and 7025840604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6289362 + ... + 6290478.

It is an arithmetic number, because the mean of its divisors is an integer number (48035988).

Almost surely, 2^7025840640 is an apocalyptic number.

7025840640 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 7025840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371516160).

7025840640 is an abundant number, since it is smaller than the sum of its proper divisors (23717191680).

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

7025840640 is a wasteful number, since it uses less digits than its factorization.

7025840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7025840640 is about 83820.2877589907. The cubic root of 7025840640 is about 1915.2821668129.

The spelling of 7025840640 in words is "seven billion, twenty-five million, eight hundred forty thousand, six hundred forty".