7870464000 has 720 divisors, whose sum is σ = 32959932096. Its totient is φ = 1769472000.

The previous prime is 7870463989. The next prime is 7870464023. The reversal of 7870464000 is 4640787.

It is a happy number.

7870464000 is a `hidden beast` number, since 7 + 8 + 7 + 0 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129023970 + ... + 129024030.

Almost surely, 2^7870464000 is an apocalyptic number.

7870464000 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 7870464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479966048).

7870464000 is an abundant number, since it is smaller than the sum of its proper divisors (25089468096).

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

7870464000 is an equidigital number, since it uses as much as digits as its factorization.

7870464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

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

The square root of 7870464000 is about 88715.6356004960. The cubic root of 7870464000 is about 1989.1465410908.

The spelling of 7870464000 in words is "seven billion, eight hundred seventy million, four hundred sixty-four thousand".