7867641600 has 1296 divisors, whose sum is σ = 36903193600. Its totient is φ = 1552711680.

The previous prime is 7867641583. The next prime is 7867641641. The reversal of 7867641600 is 61467687.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 99590361 + ... + 99590439.

Almost surely, 2^7867641600 is an apocalyptic number.

7867641600 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 7867641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451596800).

7867641600 is an abundant number, since it is smaller than the sum of its proper divisors (29035552000).

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

7867641600 is a wasteful number, since it uses less digits than its factorization.

7867641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7867641600 is about 88699.7271698172. The cubic root of 7867641600 is about 1988.9087389983.

The spelling of 7867641600 in words is "seven billion, eight hundred sixty-seven million, six hundred forty-one thousand, six hundred".