1974276944640 has 3456 divisors, whose sum is σ = 10097570875392. Its totient is φ = 355451535360.

The previous prime is 1974276944603. The next prime is 1974276944659. The reversal of 1974276944640 is 464496724791.

1974276944640 is a `hidden beast` number, since 1 + 9 + 74 + 27 + 69 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5292967494 + ... + 5292967866.

It is an arithmetic number, because the mean of its divisors is an integer number (2921750832).

Almost surely, 2^{1974276944640} is an apocalyptic number.

1974276944640 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 1974276944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048785437696).

1974276944640 is an abundant number, since it is smaller than the sum of its proper divisors (8123293930752).

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

1974276944640 is a wasteful number, since it uses less digits than its factorization.

1974276944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 1974276944640 in words is "one trillion, nine hundred seventy-four billion, two hundred seventy-six million, nine hundred forty-four thousand, six hundred forty".