7406854000 has 160 divisors (see below), whose sum is σ = 22043339136. Its totient is φ = 2344089600.

The previous prime is 7406853997. The next prime is 7406854043. The reversal of 7406854000 is 4586047.

It is a super-2 number, since 2×7406854000² (a number of 21 digits) contains 22 as substring.

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, 161652 + ... + 202348.

Almost surely, 2^7406854000 is an apocalyptic number.

7406854000 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 7406854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021669568).

7406854000 is an abundant number, since it is smaller than the sum of its proper divisors (14636485136).

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

7406854000 is a wasteful number, since it uses less digits than its factorization.

7406854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40740 (or 40724 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 7406854000 is about 86063.0815158277. The cubic root of 7406854000 is about 1949.2966124073.

The spelling of 7406854000 in words is "seven billion, four hundred six million, eight hundred fifty-four thousand".