7490592728640 has 2016 divisors, whose sum is σ = 33056762618880. Its totient is φ = 1605202292736.

The previous prime is 7490592728617. The next prime is 7490592728653. The reversal of 7490592728640 is 468272950947.

7490592728640 is a `hidden beast` number, since 7 + 490 + 5 + 9 + 27 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×7490592728640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7746217437 + ... + 7746218403.

It is an arithmetic number, because the mean of its divisors is an integer number (16397203680).

Almost surely, 2^{7490592728640} is an apocalyptic number.

7490592728640 is a gapful number since it is divisible by the number (70) 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 7490592728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16528381309440).

7490592728640 is an abundant number, since it is smaller than the sum of its proper divisors (25566169890240).

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

7490592728640 is a wasteful number, since it uses less digits than its factorization.

7490592728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 7490592728640 in words is "seven trillion, four hundred ninety billion, five hundred ninety-two million, seven hundred twenty-eight thousand, six hundred forty".