7462714896 has 480 divisors, whose sum is σ = 27453242880. Its totient is φ = 1922973696.

The previous prime is 7462714879. The next prime is 7462714907. The reversal of 7462714896 is 6984172647.

7462714896 is a `hidden beast` number, since 7 + 4 + 627 + 1 + 4 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×7462714896² (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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12933360 + ... + 12933936.

It is an arithmetic number, because the mean of its divisors is an integer number (57194256).

Almost surely, 2^7462714896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7462714896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726621440).

7462714896 is an abundant number, since it is smaller than the sum of its proper divisors (19990527984).

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

7462714896 is a wasteful number, since it uses less digits than its factorization.

7462714896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 7462714896 is about 86387.0065229720. The cubic root of 7462714896 is about 1954.1847361315.

The spelling of 7462714896 in words is "seven billion, four hundred sixty-two million, seven hundred fourteen thousand, eight hundred ninety-six".