9049700782080 has 1664 divisors, whose sum is σ = 38698299555840. Its totient is φ = 1962627563520.

The previous prime is 9049700781911. The next prime is 9049700782081. The reversal of 9049700782080 is 802870079409.

9049700782080 is a `hidden beast` number, since 9 + 0 + 497 + 0 + 0 + 78 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9049700782081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6359592249 + ... + 6359593671.

Almost surely, 2^{9049700782080} is an apocalyptic number.

9049700782080 is a gapful number since it is divisible by the number (90) 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 9049700782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19349149777920).

9049700782080 is an abundant number, since it is smaller than the sum of its proper divisors (29648598773760).

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

9049700782080 is a wasteful number, since it uses less digits than its factorization.

9049700782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 9049700782080 in words is "nine trillion, forty-nine billion, seven hundred million, seven hundred eighty-two thousand, eighty".