7467081720 has 128 divisors (see below), whose sum is σ = 25910115840. Its totient is φ = 1686182400.

The previous prime is 7467081707. The next prime is 7467081731. The reversal of 7467081720 is 271807647.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16170 + ... + 123270.

It is an arithmetic number, because the mean of its divisors is an integer number (202422780).

Almost surely, 2^7467081720 is an apocalyptic number.

7467081720 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 7467081720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12955057920).

7467081720 is an abundant number, since it is smaller than the sum of its proper divisors (18443034120).

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

7467081720 is a wasteful number, since it uses less digits than its factorization.

7467081720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107205 (or 107201 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 7467081720 is about 86412.2775998874. The cubic root of 7467081720 is about 1954.5658269716.

The spelling of 7467081720 in words is "seven billion, four hundred sixty-seven million, eighty-one thousand, seven hundred twenty".