7051464000 has 672 divisors, whose sum is σ = 30560564736. Its totient is φ = 1515110400.

The previous prime is 7051463989. The next prime is 7051464041. The reversal of 7051464000 is 4641507.

7051464000 is a `hidden beast` number, since 7 + 0 + 5 + 14 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8567589 + ... + 8568411.

Almost surely, 2^7051464000 is an apocalyptic number.

7051464000 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 7051464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280282368).

7051464000 is an abundant number, since it is smaller than the sum of its proper divisors (23509100736).

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

7051464000 is a wasteful number, since it uses less digits than its factorization.

7051464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7051464000 is about 83972.9956593190. The cubic root of 7051464000 is about 1917.6076975343.

The spelling of 7051464000 in words is "seven billion, fifty-one million, four hundred sixty-four thousand".