7451377920 has 360 divisors, whose sum is σ = 30474273984. Its totient is φ = 1703006208.

The previous prime is 7451377907. The next prime is 7451377931. The reversal of 7451377920 is 297731547.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 720627 + ... + 730893.

Almost surely, 2^7451377920 is an apocalyptic number.

7451377920 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 7451377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237136992).

7451377920 is an abundant number, since it is smaller than the sum of its proper divisors (23022896064).

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

7451377920 is a wasteful number, since it uses less digits than its factorization.

7451377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10284 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 7451377920 is about 86321.3642153552. The cubic root of 7451377920 is about 1953.1946686684.

The spelling of 7451377920 in words is "seven billion, four hundred fifty-one million, three hundred seventy-seven thousand, nine hundred twenty".