7610441472 has 216 divisors, whose sum is σ = 22856171520. Its totient is φ = 2432747520.

The previous prime is 7610441467. The next prime is 7610441491. The reversal of 7610441472 is 2741440167.

It is a happy number.

7610441472 is a `hidden beast` number, since 76 + 104 + 414 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9070429 + ... + 9071267.

Almost surely, 2^7610441472 is an apocalyptic number.

7610441472 is a gapful number since it is divisible by the number (72) 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 7610441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428085760).

7610441472 is an abundant number, since it is smaller than the sum of its proper divisors (15245730048).

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

7610441472 is a wasteful number, since it uses less digits than its factorization.

7610441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7610441472 is about 87237.8442649748. The cubic root of 7610441472 is about 1966.9951245078.

The spelling of 7610441472 in words is "seven billion, six hundred ten million, four hundred forty-one thousand, four hundred seventy-two".