7506135920640 has 1248 divisors, whose sum is σ = 29842281570816. Its totient is φ = 1602292285440.

The previous prime is 7506135920587. The next prime is 7506135920651. The reversal of 7506135920640 is 460295316057.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7506135920640.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2977442580 + ... + 2977445100.

It is an arithmetic number, because the mean of its divisors is an integer number (23912084592).

Almost surely, 2^{7506135920640} is an apocalyptic number.

7506135920640 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 7506135920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921140785408).

7506135920640 is an abundant number, since it is smaller than the sum of its proper divisors (22336145650176).

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

7506135920640 is a wasteful number, since it uses less digits than its factorization.

7506135920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 7506135920640 in words is "seven trillion, five hundred six billion, one hundred thirty-five million, nine hundred twenty thousand, six hundred forty".