4007365164 has 480 divisors, whose sum is σ = 13113999360. Its totient is φ = 1052092800.

The previous prime is 4007365163. The next prime is 4007365181. The reversal of 4007365164 is 4615637004.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4007365163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48281467 + ... + 48281549.

It is an arithmetic number, because the mean of its divisors is an integer number (27320832).

Almost surely, 2^4007365164 is an apocalyptic number.

4007365164 is a gapful number since it is divisible by the number (44) 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 4007365164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556999680).

4007365164 is an abundant number, since it is smaller than the sum of its proper divisors (9106634196).

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

4007365164 is a wasteful number, since it uses less digits than its factorization.

4007365164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4007365164 is about 63303.7531588768. The cubic root of 4007365164 is about 1588.3747436860.

The spelling of 4007365164 in words is "four billion, seven million, three hundred sixty-five thousand, one hundred sixty-four".