1004077061964 has 384 divisors, whose sum is σ = 2905706496000. Its totient is φ = 298537747200.

The previous prime is 1004077061951. The next prime is 1004077061987. The reversal of 1004077061964 is 4691607704001.

1004077061964 is a `hidden beast` number, since 100 + 407 + 70 + 6 + 19 + 64 = 666.

1004077061964 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 905389042 + ... + 905390150.

It is an arithmetic number, because the mean of its divisors is an integer number (7566944000).

Almost surely, 2^{1004077061964} 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 1004077061964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452853248000).

1004077061964 is an abundant number, since it is smaller than the sum of its proper divisors (1901629434036).

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

1004077061964 is a wasteful number, since it uses less digits than its factorization.

1004077061964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1004077061964 in words is "one trillion, four billion, seventy-seven million, sixty-one thousand, nine hundred sixty-four".