6540749696250 has 800 divisors, whose sum is σ = 22977949902336. Its totient is φ = 1350516240000.

The previous prime is 6540749696167. The next prime is 6540749696263. The reversal of 6540749696250 is 526969470456.

6540749696250 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 7 + 496 + 96 + 2 + 50 = 666.

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 399 ways as a sum of consecutive naturals, for example, 1270786177 + ... + 1270791323.

Almost surely, 2^{6540749696250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540749696250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488974951168).

6540749696250 is an abundant number, since it is smaller than the sum of its proper divisors (16437200206086).

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

6540749696250 is a wasteful number, since it uses less digits than its factorization.

6540749696250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 6540749696250 in words is "six trillion, five hundred forty billion, seven hundred forty-nine million, six hundred ninety-six thousand, two hundred fifty".