1974792960000 has 1440 divisors, whose sum is σ = 8456334606720. Its totient is φ = 450883584000.

The previous prime is 1974792959981. The next prime is 1974792960067. The reversal of 1974792960000 is 692974791.

1974792960000 is a `hidden beast` number, since 1 + 9 + 7 + 4 + 7 + 9 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2177279547 + ... + 2177280453.

It is an arithmetic number, because the mean of its divisors is an integer number (5872454588).

Almost surely, 2^{1974792960000} is an apocalyptic number.

1974792960000 is a gapful number since it is divisible by the number (10) 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 1974792960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228167303360).

1974792960000 is an abundant number, since it is smaller than the sum of its proper divisors (6481541646720).

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

1974792960000 is an frugal number, since it uses more digits than its factorization.

1974792960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 1974792960000 in words is "one trillion, nine hundred seventy-four billion, seven hundred ninety-two million, nine hundred sixty thousand".