6146807040 has 1152 divisors, whose sum is σ = 26843443200. Its totient is φ = 1313832960.

The previous prime is 6146807033. The next prime is 6146807047. The reversal of 6146807040 is 407086416.

It is an interprime number because it is at equal distance from previous prime (6146807033) and next prime (6146807047).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6146806986 and 6146807004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146807047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166129902 + ... + 166129938.

It is an arithmetic number, because the mean of its divisors is an integer number (23301600).

Almost surely, 2^6146807040 is an apocalyptic number.

6146807040 is a gapful number since it is divisible by the number (60) 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 6146807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421721600).

6146807040 is an abundant number, since it is smaller than the sum of its proper divisors (20696636160).

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

6146807040 is a wasteful number, since it uses less digits than its factorization.

6146807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6146807040 is about 78401.5754943738. The cubic root of 6146807040 is about 1831.8216743214.

The spelling of 6146807040 in words is "six billion, one hundred forty-six million, eight hundred seven thousand, forty".