7590349499040 has 1536 divisors, whose sum is σ = 34274079866880. Its totient is φ = 1522586419200.

The previous prime is 7590349498993. The next prime is 7590349499063. The reversal of 7590349499040 is 409949430957.

7590349499040 is a `hidden beast` number, since 7 + 59 + 0 + 3 + 494 + 9 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×7590349499040² (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 255 ways as a sum of consecutive naturals, for example, 6362404684 + ... + 6362405876.

It is an arithmetic number, because the mean of its divisors is an integer number (22313854080).

Almost surely, 2^{7590349499040} is an apocalyptic number.

7590349499040 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 7590349499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137039933440).

7590349499040 is an abundant number, since it is smaller than the sum of its proper divisors (26683730367840).

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

7590349499040 is a wasteful number, since it uses less digits than its factorization.

7590349499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 7590349499040 in words is "seven trillion, five hundred ninety billion, three hundred forty-nine million, four hundred ninety-nine thousand, forty".