7461662976 has 432 divisors, whose sum is σ = 24106118400. Its totient is φ = 2294728704.

The previous prime is 7461662903. The next prime is 7461662977. The reversal of 7461662976 is 6792661647.

7461662976 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 6 + 629 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (4572288) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (7461662977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69735115 + ... + 69735221.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^7461662976 is an apocalyptic number.

7461662976 is a gapful number since it is divisible by the number (76) 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 7461662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053059200).

7461662976 is an abundant number, since it is smaller than the sum of its proper divisors (16644455424).

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

7461662976 is a wasteful number, since it uses less digits than its factorization.

7461662976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7461662976 is about 86380.9178927846. The cubic root of 7461662976 is about 1954.0929133106.

The spelling of 7461662976 in words is "seven billion, four hundred sixty-one million, six hundred sixty-two thousand, nine hundred seventy-six".