1972762747200 has 1008 divisors, whose sum is σ = 8125086112000. Its totient is φ = 444672737280.

The previous prime is 1972762747199. The next prime is 1972762747201. The reversal of 1972762747200 is 27472672791.

1972762747200 is a `hidden beast` number, since 1 + 9 + 7 + 2 + 7 + 627 + 4 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1972762747199) and next prime (1972762747201).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1972762747200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972762747201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4493764581 + ... + 4493765019.

Almost surely, 2^{1972762747200} is an apocalyptic number.

1972762747200 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 1972762747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062543056000).

1972762747200 is an abundant number, since it is smaller than the sum of its proper divisors (6152323364800).

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

1972762747200 is a wasteful number, since it uses less digits than its factorization.

1972762747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 1972762747200 in words is "one trillion, nine hundred seventy-two billion, seven hundred sixty-two million, seven hundred forty-seven thousand, two hundred".