7269125703840 has 4320 divisors, whose sum is σ = 37281460930560. Its totient is φ = 1317446000640.

The previous prime is 7269125703823. The next prime is 7269125703911. The reversal of 7269125703840 is 483075219627.

It is a happy number.

7269125703840 is a `hidden beast` number, since 7 + 2 + 6 + 9 + 1 + 257 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 18979440289 + ... + 18979440671.

It is an arithmetic number, because the mean of its divisors is an integer number (8629967808).

It is a 1-persistent number, because it is pandigital, but 2⋅7269125703840 = 14538251407680 is not.

Almost surely, 2^{7269125703840} is an apocalyptic number.

7269125703840 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 7269125703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640730465280).

7269125703840 is an abundant number, since it is smaller than the sum of its proper divisors (30012335226720).

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

7269125703840 is a wasteful number, since it uses less digits than its factorization.

7269125703840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 7269125703840 in words is "seven trillion, two hundred sixty-nine billion, one hundred twenty-five million, seven hundred three thousand, eight hundred forty".