1974603892464 has 240 divisors, whose sum is σ = 6649345248000. Its totient is φ = 534370950144.

The previous prime is 1974603892463. The next prime is 1974603892523. The reversal of 1974603892464 is 4642983064791.

It is a happy number.

1974603892464 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 6 + 0 + 389 + 246 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1974603892463) 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, 153075487 + ... + 153088385.

It is an arithmetic number, because the mean of its divisors is an integer number (27705605200).

Almost surely, 2^{1974603892464} is an apocalyptic number.

1974603892464 is a gapful number since it is divisible by the number (14) 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 1974603892464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324672624000).

1974603892464 is an abundant number, since it is smaller than the sum of its proper divisors (4674741355536).

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

1974603892464 is a wasteful number, since it uses less digits than its factorization.

1974603892464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20932 (or 20923 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 1974603892464 in words is "one trillion, nine hundred seventy-four billion, six hundred three million, eight hundred ninety-two thousand, four hundred sixty-four".