7864053120 has 1152 divisors, whose sum is σ = 36732852000. Its totient is φ = 1527644160.

The previous prime is 7864053101. The next prime is 7864053143. The reversal of 7864053120 is 213504687.

7864053120 is a `hidden beast` number, since 7 + 8 + 640 + 5 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 52778806 + ... + 52778954.

Almost surely, 2^7864053120 is an apocalyptic number.

7864053120 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 7864053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366426000).

7864053120 is an abundant number, since it is smaller than the sum of its proper divisors (28868798880).

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

7864053120 is a wasteful number, since it uses less digits than its factorization.

7864053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7864053120 is about 88679.4966156214. The cubic root of 7864053120 is about 1988.6063084873.

The spelling of 7864053120 in words is "seven billion, eight hundred sixty-four million, fifty-three thousand, one hundred twenty".