4007076480 has 320 divisors, whose sum is σ = 15613123680. Its totient is φ = 971274240.

The previous prime is 4007076467. The next prime is 4007076481. The reversal of 4007076480 is 846707004.

It is a happy number.

4007076480 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 0 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007076481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566727 + ... + 573753.

Almost surely, 2^4007076480 is an apocalyptic number.

4007076480 is a gapful number since it is divisible by the number (40) 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 4007076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806561840).

4007076480 is an abundant number, since it is smaller than the sum of its proper divisors (11606047200).

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

4007076480 is a wasteful number, since it uses less digits than its factorization.

4007076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4007076480 is about 63301.4729686443. The cubic root of 4007076480 is about 1588.3366014681.

The spelling of 4007076480 in words is "four billion, seven million, seventy-six thousand, four hundred eighty".