7590878346240 has 2112 divisors, whose sum is σ = 32848379965440. Its totient is φ = 1586728009728.

The previous prime is 7590878346229. The next prime is 7590878346253. The reversal of 7590878346240 is 426438780957.

7590878346240 is a `hidden beast` number, since 7 + 5 + 90 + 8 + 7 + 83 + 462 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103984634844 + ... + 103984634916.

Almost surely, 2^{7590878346240} is an apocalyptic number.

7590878346240 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 7590878346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424189982720).

7590878346240 is an abundant number, since it is smaller than the sum of its proper divisors (25257501619200).

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

7590878346240 is a wasteful number, since it uses less digits than its factorization.

7590878346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7590878346240 in words is "seven trillion, five hundred ninety billion, eight hundred seventy-eight million, three hundred forty-six thousand, two hundred forty".