7251879152440 has 128 divisors (see below), whose sum is σ = 18192600518400. Its totient is φ = 2583178536960.

The previous prime is 7251879152377. The next prime is 7251879152473. The reversal of 7251879152440 is 442519781527.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18368154 + ... + 18758806.

It is an arithmetic number, because the mean of its divisors is an integer number (142129691550).

Almost surely, 2^{7251879152440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7251879152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096300259200).

7251879152440 is an abundant number, since it is smaller than the sum of its proper divisors (10940721365960).

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

7251879152440 is a wasteful number, since it uses less digits than its factorization.

7251879152440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391937 (or 391933 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 7251879152440 in words is "seven trillion, two hundred fifty-one billion, eight hundred seventy-nine million, one hundred fifty-two thousand, four hundred forty".