7538424791040 has 1440 divisors, whose sum is σ = 30997712019456. Its totient is φ = 1670664683520.

The previous prime is 7538424790951. The next prime is 7538424791063. The reversal of 7538424791040 is 401974248357.

7538424791040 is a `hidden beast` number, since 7 + 5 + 384 + 247 + 9 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

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, 13389741799 + ... + 13389742361.

Almost surely, 2^{7538424791040} 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 7538424791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498856009728).

7538424791040 is an abundant number, since it is smaller than the sum of its proper divisors (23459287228416).

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

7538424791040 is a wasteful number, since it uses less digits than its factorization.

7538424791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 7538424791040 in words is "seven trillion, five hundred thirty-eight billion, four hundred twenty-four million, seven hundred ninety-one thousand, forty".