7780101642972 has 18 divisors (see below), whose sum is σ = 19666368042048. Its totient is φ = 2593367214312.

The previous prime is 7780101642967. The next prime is 7780101642997. The reversal of 7780101642972 is 2792461010877.

7780101642972 is a `hidden beast` number, since 77 + 80 + 1 + 0 + 1 + 6 + 429 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×7780101642972² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108056967228 + ... + 108056967299.

It is an arithmetic number, because the mean of its divisors is an integer number (1092576002336).

Almost surely, 2^{7780101642972} is an apocalyptic number.

It is an amenable number.

7780101642972 is an abundant number, since it is smaller than the sum of its proper divisors (11886266399076).

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

7780101642972 is a wasteful number, since it uses less digits than its factorization.

7780101642972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216113934537 (or 216113934532 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 7780101642972 in words is "seven trillion, seven hundred eighty billion, one hundred one million, six hundred forty-two thousand, nine hundred seventy-two".