7367825000880 has 400 divisors, whose sum is σ = 27142498509984. Its totient is φ = 1845925355520.

The previous prime is 7367825000869. The next prime is 7367825000903. The reversal of 7367825000880 is 880005287637.

7367825000880 is a `hidden beast` number, since 73 + 67 + 8 + 2 + 500 + 0 + 8 + 8 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 62842794 + ... + 62959926.

Almost surely, 2^{7367825000880} 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 7367825000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571249254992).

7367825000880 is an abundant number, since it is smaller than the sum of its proper divisors (19774673509104).

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

7367825000880 is a wasteful number, since it uses less digits than its factorization.

7367825000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117746 (or 117731 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7367825000880 in words is "seven trillion, three hundred sixty-seven billion, eight hundred twenty-five million, eight hundred eighty", and thus it is an aban number.