7134801408 has 300 divisors, whose sum is σ = 24779376072. Its totient is φ = 2037934080.

The previous prime is 7134801389. The next prime is 7134801433. The reversal of 7134801408 is 8041084317.

It is a super-2 number, since 2×7134801408² (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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2030373 + ... + 2033883.

Almost surely, 2^7134801408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7134801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389688036).

7134801408 is an abundant number, since it is smaller than the sum of its proper divisors (17644574664).

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

7134801408 is an equidigital number, since it uses as much as digits as its factorization.

7134801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7134801408 is about 84467.7536578309. The cubic root of 7134801408 is about 1925.1325175990.

The spelling of 7134801408 in words is "seven billion, one hundred thirty-four million, eight hundred one thousand, four hundred eight".