7506341493120 has 384 divisors, whose sum is σ = 26002502828640. Its totient is φ = 1995357192192.

The previous prime is 7506341493113. The next prime is 7506341493121. The reversal of 7506341493120 is 213941436057.

7506341493120 is a `hidden beast` number, since 7 + 5 + 0 + 6 + 34 + 1 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×7506341493120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7506341493121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3758807962 + ... + 3758809958.

Almost surely, 2^{7506341493120} 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 7506341493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13001251414320).

7506341493120 is an abundant number, since it is smaller than the sum of its proper divisors (18496161335520).

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

7506341493120 is a wasteful number, since it uses less digits than its factorization.

7506341493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 7506341493120 in words is "seven trillion, five hundred six billion, three hundred forty-one million, four hundred ninety-three thousand, one hundred twenty".