7640967492900 has 243 divisors, whose sum is σ = 27862539633201. Its totient is φ = 1746374172480.

The previous prime is 7640967492857. The next prime is 7640967492929. The reversal of 7640967492900 is 92947690467.

The square root of 7640967492900 is 2764230.

It is a perfect power (a square), and thus also a powerful number.

7640967492900 is a `hidden beast` number, since 76 + 409 + 6 + 74 + 9 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2750748297444 + 4890219195456 = 1658538^2 + 2211384^2 .

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 80 ways as a sum of consecutive naturals, for example, 580481719 + ... + 580494881.

Almost surely, 2^{7640967492900} is an apocalyptic number.

7640967492900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7640967492900 is the 2764230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7640967492900

7640967492900 is an abundant number, since it is smaller than the sum of its proper divisors (20221572140301).

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

7640967492900 is a wasteful number, since it uses less digits than its factorization.

7640967492900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26360 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 7640967492900 in words is "seven trillion, six hundred forty billion, nine hundred sixty-seven million, four hundred ninety-two thousand, nine hundred".