7660033920 has 1280 divisors, whose sum is σ = 36255859200. Its totient is φ = 1492992000.

The previous prime is 7660033903. The next prime is 7660033921. The reversal of 7660033920 is 293300667.

It is a super-2 number, since 2×7660033920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7660033921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75841870 + ... + 75841970.

It is an arithmetic number, because the mean of its divisors is an integer number (28324890).

Almost surely, 2^7660033920 is an apocalyptic number.

7660033920 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 7660033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127929600).

7660033920 is an abundant number, since it is smaller than the sum of its proper divisors (28595825280).

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

7660033920 is a wasteful number, since it uses less digits than its factorization.

7660033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 7660033920 is about 87521.6197290704. The cubic root of 7660033920 is about 1971.2584330622.

The spelling of 7660033920 in words is "seven billion, six hundred sixty million, thirty-three thousand, nine hundred twenty".