7025270653440 has 960 divisors, whose sum is σ = 26846469153504. Its totient is φ = 1687142006784.

The previous prime is 7025270653421. The next prime is 7025270653501. The reversal of 7025270653440 is 443560725207.

7025270653440 is a `hidden beast` number, since 7 + 0 + 2 + 5 + 2 + 70 + 6 + 534 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 56791296 + 7025213862144 = 7536^2 + 2650512^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3063788934 + ... + 3063791226.

Almost surely, 2^{7025270653440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7025270653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423234576752).

7025270653440 is an abundant number, since it is smaller than the sum of its proper divisors (19821198500064).

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

7025270653440 is a wasteful number, since it uses less digits than its factorization.

7025270653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 7025270653440 in words is "seven trillion, twenty-five billion, two hundred seventy million, six hundred fifty-three thousand, four hundred forty".