7006887840 has 384 divisors, whose sum is σ = 23911759872. Its totient is φ = 1721180160.

The previous prime is 7006887791. The next prime is 7006887869. The reversal of 7006887840 is 487886007.

It is a super-4 number, since 4×7006887840⁴ (a number of 40 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7006887840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30072364 + ... + 30072596.

It is an arithmetic number, because the mean of its divisors is an integer number (62270208).

Almost surely, 2^7006887840 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 7006887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955879936).

7006887840 is an abundant number, since it is smaller than the sum of its proper divisors (16904872032).

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

7006887840 is a wasteful number, since it uses less digits than its factorization.

7006887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 7006887840 is about 83707.1552497157. The cubic root of 7006887840 is about 1913.5584039468.

The spelling of 7006887840 in words is "seven billion, six million, eight hundred eighty-seven thousand, eight hundred forty".