7967254680 has 1152 divisors, whose sum is σ = 36300700800. Its totient is φ = 1476034560.

The previous prime is 7967254639. The next prime is 7967254721. The reversal of 7967254680 is 864527697.

7967254680 is a `hidden beast` number, since 7 + 96 + 7 + 2 + 546 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7967254639) and next prime (7967254721).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 150325534 + ... + 150325586.

It is an arithmetic number, because the mean of its divisors is an integer number (31511025).

Almost surely, 2^7967254680 is an apocalyptic number.

7967254680 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 7967254680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150350400).

7967254680 is an abundant number, since it is smaller than the sum of its proper divisors (28333446120).

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

7967254680 is a wasteful number, since it uses less digits than its factorization.

7967254680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7967254680 is about 89259.4794965778. The cubic root of 7967254680 is about 1997.2674917328.

The spelling of 7967254680 in words is "seven billion, nine hundred sixty-seven million, two hundred fifty-four thousand, six hundred eighty".