7451920000 has 240 divisors, whose sum is σ = 21591190170. Its totient is φ = 2553600000.

The previous prime is 7451919989. The next prime is 7451920009. The reversal of 7451920000 is 291547.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 139617856 + 7312302144 = 11816^2 + 85512^2 .

It is a super-2 number, since 2×7451920000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (7451920009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3919050 + ... + 3920950.

Almost surely, 2^7451920000 is an apocalyptic number.

7451920000 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 7451920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10795595085).

7451920000 is an abundant number, since it is smaller than the sum of its proper divisors (14139270170).

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

7451920000 is an equidigital number, since it uses as much as digits as its factorization.

7451920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 7451920000 is about 86324.5040530208. The cubic root of 7451920000 is about 1953.2420318139.

The spelling of 7451920000 in words is "seven billion, four hundred fifty-one million, nine hundred twenty thousand".