7290964484496 has 1120 divisors, whose sum is σ = 27222155170560. Its totient is φ = 1836081561600.

The previous prime is 7290964484459. The next prime is 7290964484539. The reversal of 7290964484496 is 6944844690927.

It is a happy number.

7290964484496 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 96 + 4 + 48 + 4 + 496 = 666.

It is a super-2 number, since 2×7290964484496² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4236468916 + ... + 4236470636.

It is an arithmetic number, because the mean of its divisors is an integer number (24305495688).

Almost surely, 2^{7290964484496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7290964484496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611077585280).

7290964484496 is an abundant number, since it is smaller than the sum of its proper divisors (19931190686064).

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

7290964484496 is a wasteful number, since it uses less digits than its factorization.

7290964484496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 7290964484496 in words is "seven trillion, two hundred ninety billion, nine hundred sixty-four million, four hundred eighty-four thousand, four hundred ninety-six".