7641390929760 has 768 divisors, whose sum is σ = 30919233945600. Its totient is φ = 1726440210432.

The previous prime is 7641390929729. The next prime is 7641390929761. The reversal of 7641390929760 is 679290931467.

7641390929760 is a `hidden beast` number, since 76 + 4 + 1 + 390 + 92 + 97 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641390929761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4191656209 + ... + 4191658031.

It is an arithmetic number, because the mean of its divisors is an integer number (40259419200).

Almost surely, 2^{7641390929760} is an apocalyptic number.

7641390929760 is a gapful number since it is divisible by the number (70) 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 7641390929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459616972800).

7641390929760 is an abundant number, since it is smaller than the sum of its proper divisors (23277843015840).

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

7641390929760 is a wasteful number, since it uses less digits than its factorization.

7641390929760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 7641390929760 in words is "seven trillion, six hundred forty-one billion, three hundred ninety million, nine hundred twenty-nine thousand, seven hundred sixty".