7458400745640 has 384 divisors, whose sum is σ = 27403231564800. Its totient is φ = 1746575585280.

The previous prime is 7458400745629. The next prime is 7458400745683. The reversal of 7458400745640 is 465470048547.

7458400745640 is a `hidden beast` number, since 7 + 4 + 5 + 8 + 4 + 0 + 0 + 74 + 564 + 0 = 666.

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, 8124052 + ... + 8995388.

It is an arithmetic number, because the mean of its divisors is an integer number (71362582200).

Almost surely, 2^{7458400745640} 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 7458400745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701615782400).

7458400745640 is an abundant number, since it is smaller than the sum of its proper divisors (19944830819160).

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

7458400745640 is a wasteful number, since it uses less digits than its factorization.

7458400745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871457 (or 871450 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 7458400745640 in words is "seven trillion, four hundred fifty-eight billion, four hundred million, seven hundred forty-five thousand, six hundred forty".