7493894909640 has 512 divisors, whose sum is σ = 26763609600000. Its totient is φ = 1859466295296.

The previous prime is 7493894909639. The next prime is 7493894909717. The reversal of 7493894909640 is 469094983947.

7493894909640 is a `hidden beast` number, since 7 + 4 + 9 + 3 + 8 + 9 + 490 + 96 + 40 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1947982197 + ... + 1947986043.

It is an arithmetic number, because the mean of its divisors is an integer number (52272675000).

Almost surely, 2^{7493894909640} 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 7493894909640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381804800000).

7493894909640 is an abundant number, since it is smaller than the sum of its proper divisors (19269714690360).

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

7493894909640 is a wasteful number, since it uses less digits than its factorization.

7493894909640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 7493894909640 in words is "seven trillion, four hundred ninety-three billion, eight hundred ninety-four million, nine hundred nine thousand, six hundred forty".