7254881640 has 192 divisors, whose sum is σ = 25241448960. Its totient is φ = 1872149760.

The previous prime is 7254881591. The next prime is 7254881677. The reversal of 7254881640 is 461884527.

7254881640 is a `hidden beast` number, since 7 + 2 + 5 + 488 + 164 + 0 = 666.

It is a super-2 number, since 2×7254881640² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 289282 + ... + 313358.

It is an arithmetic number, because the mean of its divisors is an integer number (131465880).

Almost surely, 2^7254881640 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 7254881640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620724480).

7254881640 is an abundant number, since it is smaller than the sum of its proper divisors (17986567320).

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

7254881640 is a wasteful number, since it uses less digits than its factorization.

7254881640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24134 (or 24118 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7254881640 is about 85175.5929829667. The cubic root of 7254881640 is about 1935.8726188587.

The spelling of 7254881640 in words is "seven billion, two hundred fifty-four million, eight hundred eighty-one thousand, six hundred forty".