7460061984 has 192 divisors, whose sum is σ = 22087618560. Its totient is φ = 2449440000.

The previous prime is 7460061901. The next prime is 7460062007. The reversal of 7460061984 is 4891600647.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27527769 + ... + 27528039.

It is an arithmetic number, because the mean of its divisors is an integer number (115039680).

Almost surely, 2^7460061984 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 7460061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043809280).

7460061984 is an abundant number, since it is smaller than the sum of its proper divisors (14627556576).

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

7460061984 is a wasteful number, since it uses less digits than its factorization.

7460061984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7460061984 is about 86371.6503489426. The cubic root of 7460061984 is about 1953.9531450529.

The spelling of 7460061984 in words is "seven billion, four hundred sixty million, sixty-one thousand, nine hundred eighty-four".