7954087680 has 1152 divisors, whose sum is σ = 36497664000. Its totient is φ = 1625702400.

The previous prime is 7954087657. The next prime is 7954087697. The reversal of 7954087680 is 867804597.

7954087680 is a `hidden beast` number, since 7 + 95 + 408 + 76 + 80 = 666.

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

It is a super-2 number, since 2×7954087680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130394850 + ... + 130394910.

It is an arithmetic number, because the mean of its divisors is an integer number (31682000).

Almost surely, 2^7954087680 is an apocalyptic number.

7954087680 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 7954087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248832000).

7954087680 is an abundant number, since it is smaller than the sum of its proper divisors (28543576320).

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

7954087680 is a wasteful number, since it uses less digits than its factorization.

7954087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 7954087680 is about 89185.6921260356. The cubic root of 7954087680 is about 1996.1666306673.

The spelling of 7954087680 in words is "seven billion, nine hundred fifty-four million, eighty-seven thousand, six hundred eighty".