7492071919104 has 320 divisors, whose sum is σ = 22451041166400. Its totient is φ = 2466658123776.

The previous prime is 7492071919051. The next prime is 7492071919121. The reversal of 7492071919104 is 4019191702947.

It is a super-2 number, since 2×7492071919104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457690632 + ... + 457707000.

It is an arithmetic number, because the mean of its divisors is an integer number (70159503645).

Almost surely, 2^{7492071919104} 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 7492071919104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225520583200).

7492071919104 is an abundant number, since it is smaller than the sum of its proper divisors (14958969247296).

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

7492071919104 is a wasteful number, since it uses less digits than its factorization.

7492071919104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16802 (or 16780 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 7492071919104 in words is "seven trillion, four hundred ninety-two billion, seventy-one million, nine hundred nineteen thousand, one hundred four".