7601940000 has 360 divisors, whose sum is σ = 27286999740. Its totient is φ = 2006784000.

The previous prime is 7601939993. The next prime is 7601940023. The reversal of 7601940000 is 491067.

It can be written as a sum of positive squares in 10 ways, for example, as 2809424016 + 4792515984 = 53004^2 + 69228^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28259866 + ... + 28260134.

Almost surely, 2^7601940000 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 7601940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643499870).

7601940000 is an abundant number, since it is smaller than the sum of its proper divisors (19685059740).

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

7601940000 is a wasteful number, since it uses less digits than its factorization.

7601940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7601940000 is about 87189.1048239400. The cubic root of 7601940000 is about 1966.2624213026.

The spelling of 7601940000 in words is "seven billion, six hundred one million, nine hundred forty thousand".