38558084750640 has 960 divisors, whose sum is σ = 162462908375040. Its totient is φ = 7978997145600.

The previous prime is 38558084750623. The next prime is 38558084750651. The reversal of 38558084750640 is 4605748085583.

38558084750640 is a `hidden beast` number, since 3 + 8 + 5 + 5 + 8 + 0 + 84 + 7 + 506 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 781563414 + ... + 781612746.

It is an arithmetic number, because the mean of its divisors is an integer number (169232196224).

Almost surely, 2^{38558084750640} is an apocalyptic number.

38558084750640 is a gapful number since it is divisible by the number (30) 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 38558084750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81231454187520).

38558084750640 is an abundant number, since it is smaller than the sum of its proper divisors (123904823624400).

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

38558084750640 is a wasteful number, since it uses less digits than its factorization.

38558084750640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49602 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 38558084750640 in words is "thirty-eight trillion, five hundred fifty-eight billion, eighty-four million, seven hundred fifty thousand, six hundred forty".