7150893120 has 672 divisors, whose sum is σ = 29415589632. Its totient is φ = 1560674304.

The previous prime is 7150893091. The next prime is 7150893151. The reversal of 7150893120 is 213980517.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7150893120² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63282184 + ... + 63282296.

Almost surely, 2^7150893120 is an apocalyptic number.

7150893120 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 7150893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707794816).

7150893120 is an abundant number, since it is smaller than the sum of its proper divisors (22264696512).

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

7150893120 is a wasteful number, since it uses less digits than its factorization.

7150893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 7150893120 is about 84562.9535908012. The cubic root of 7150893120 is about 1926.5787348004.

The spelling of 7150893120 in words is "seven billion, one hundred fifty million, eight hundred ninety-three thousand, one hundred twenty".